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  • 09:05 Linear Alg: Projection is closest vector in subspace

    Linear Alg: Projection is closest vector in subspace

    368 views / 0 likes - added

    Showing that the projection of x onto a subspace is the closest vector in the subspace to x More free lessons at: http://www.khanacademy.org/video?v=b269qpILOpk

  • 16:16 Lin Alg: A Projection onto a Subspace is a Linear Transforma

    Lin Alg: A Projection onto a Subspace is a Linear Transforma

    386 views / 0 likes - added

    Showing that a projection onto a subspace is a linear transformation More free lessons at: http://www.khanacademy.org/video?v=cTyNpXB92bQ

  • 06:42 Lin Alg: Finding projection onto subspace with orthonormal basis example

    Lin Alg: Finding projection onto subspace with orthonormal basis example

    371 views / 0 likes - added

    Example of finding the transformation matrix for the projection onto a subspace with an orthonormal basis More free lessons at: http://www.khanacademy.org/video?v=SUoqA9srY1Q

  • 13:04 Linear Algebra: Subspace Projection Matrix Example

    Linear Algebra: Subspace Projection Matrix Example

    444 views / 0 likes - added

    Example of a transformation matrix for a projection onto a subspace More free lessons at: http://www.khanacademy.org/video?v=QTcSBB3uVP0

  • 21:36 Lin Alg: Another Example of a Projection Matrix

    Lin Alg: Another Example of a Projection Matrix

    356 views / 0 likes - added

    Figuring out the transformation matrix for a projection onto a subspace by figuring out the matrix for the projection onto the subspace's orthogonal complement first More free lessons at: http://www.khanacademy.org/video?v=XhCSHu6dHb8

  • 09:28 Linear Alg: Visualizing a projection onto a plane

    Linear Alg: Visualizing a projection onto a plane

    364 views / 0 likes - added

    Visualizing a projection onto a plane. Showing that the old and new definitions of projections aren't that different. More free lessons at: http://www.khanacademy.org/video?v=uWbZlJURkfA

  • 27:01 Lin Alg: Representing vectors in Rn using subspace members

    Lin Alg: Representing vectors in Rn using subspace members

    347 views / 0 likes - added

    Showing that any member of Rn can be represented as a unique sum of a vector in subspace V and a vector in the orthogonal complement of V. More free lessons at: http://www.khanacademy.org/video?v=M6lFqkqvUgo

  • 16:41 Expressing a Projection on to a line as a Matrix Vector prod

    Expressing a Projection on to a line as a Matrix Vector prod

    353 views / 0 likes - added

    Expressing a Projection on to a line as a Matrix Vector prod More free lessons at: http://www.khanacademy.org/video?v=JK-8XNIoAkI

  • 17:04 Matrix Vector Products as Linear Transformations

    Matrix Vector Products as Linear Transformations

    439 views / 0 likes - added

    Matrix Vector Products as Linear Transformations More free lessons at: http://www.khanacademy.org/video?v=ondmopWLiEg

  • 17:32 Linear Transformations as Matrix Vector Products

    Linear Transformations as Matrix Vector Products

    435 views / 0 likes - added

    Showing how ANY linear transformation can be represented as a matrix vector product More free lessons at: http://www.khanacademy.org/video?v=PErhLkQcpZ8

  • 19:00 Linear Algebra: Basis of a Subspace

    Linear Algebra: Basis of a Subspace

    307 views / 0 likes - added

    Understanding the definition of a basis of a subspace More free lessons at: http://www.khanacademy.org/video?v=zntNi3-ybfQ

  • 25:34 Linear Algebra: Vector Examples

    Linear Algebra: Vector Examples

    279 views / 0 likes - added

    Visually understanding basic vector operations More free lessons at: http://www.khanacademy.org/video?v=r4bH66vYjss

  • 12:07 Linear Algebra: Transpose of a Vector

    Linear Algebra: Transpose of a Vector

    331 views / 0 likes - added

    Transpose of a column vector. Matrix-matrix products using vectors More free lessons at: http://www.khanacademy.org/video?v=lSoaMCNKfAg

  • 09:10 Vector Dot Product and Vector Length

    Vector Dot Product and Vector Length

    278 views / 0 likes - added

    Definitions of the vector dot product and vector length More free lessons at: http://www.khanacademy.org/video?v=WNuIhXo39_k

  • 19:38 Linear Alg: Rowspace Solution to Ax=b example

    Linear Alg: Rowspace Solution to Ax=b example

    346 views / 0 likes - added

    Visualizing the rowspace solution to Ax=b More free lessons at: http://www.khanacademy.org/video?v=qdf2CuMGdKs

  • 18:53 Linear Algebra: Vector Triangle Inequality

    Linear Algebra: Vector Triangle Inequality

    297 views / 0 likes - added

    Proving the triangle inequality for vectors in Rn More free lessons at: http://www.khanacademy.org/video?v=PsNidCBr5II

  • 01:04 Dynamic projection mapping onto deforming non-rigid surface

    Dynamic projection mapping onto deforming non-rigid surface

    265 views / 0 likes - added

    We realize dynamic projection mapping onto deforming non-rigid surface based on two original technologies. The first technology is a high-speed projector "DynaFlash" that can project 8-bit images up to 1,000 fps with 3 ms delay. The second technology is a

  • 15:46 Linear Algebra: Introduction to Linear Independence

    Linear Algebra: Introduction to Linear Independence

    266 views / 0 likes - added

    Linear Algebra: Introduction to linear dependence and independence More free lessons at: http://www.khanacademy.org/video?v=CrV1xCWdY-g

  • 21:35 Proof: Any subspace basis has same number of elements

    Proof: Any subspace basis has same number of elements

    415 views / 0 likes - added

    Proof: Any subspace basis has same number of elements More free lessons at: http://www.khanacademy.org/video?v=Zn2K8UIT8r4

  • 04:13 How to build a Huge Solar Cooker from a Projection TV

    How to build a Huge Solar Cooker from a Projection TV

    121 views / 0 likes - added

    Craig Beals shares how he built a huge solar cooker from a large projection TV by removing the Fresnel lens and building a frame to hold the lens and focus solar energy into a fine point. This video shows the building phase and explains the basics of how

  • 08:18 Scale of Distance to Closest Stars

    Scale of Distance to Closest Stars

    266 views / 0 likes - added

    Scale of Distance to Closest Stars More free lessons at: http://www.khanacademy.org/video?v=jEeJkkMXt6c

  • 21:25 Linear Algebra: Showing that Inverses are Linear

    Linear Algebra: Showing that Inverses are Linear

    325 views / 0 likes - added

    Showing that inverse transformations are also linear More free lessons at: http://www.khanacademy.org/video?v=mr9Tow8hpCg

  • 05:35 Where Is The Closest Black Hole?

    Where Is The Closest Black Hole?

    384 views / 1 likes - added

    Black holes are pretty dangerous, so it’s a good idea to keep an idea on where all the nearby ones are. How close is the closest one, anyway? Support us at: http://www.patreon.com/universetoday More stories at: http://www.universetoday.com/ Follow us on T

  • 01:59 connected colors / real-time face tracking and 3d projection mapping

    connected colors / real-time face tracking and 3d projection mapping

    463 views / 0 likes - added

    New face projection mapping work using Real-Time Face Tracking “Connected Colors” is included within the Intel Corporation experience amazing campaign. “Connected Colors” which was planned and produced with the technical direction

  • 03:18 Example Finding Components Of A Vector

    Example Finding Components Of A Vector

    280 views / 0 likes - added

    Example finding components of a vector

  • 05:59 Combined Vector Operations Example

    Combined Vector Operations Example

    292 views / 0 likes - added

    Combined vector operations example

  • 10:16 Vector Components From Magnitude And Direction

    Vector Components From Magnitude And Direction

    268 views / 0 likes - added

    Vector components from magnitude and direction

  • 06:42 More Examples Finding Vector Angles

    More Examples Finding Vector Angles

    350 views / 0 likes - added

    More examples finding vector angles

  • 05:37 Figuring Out Vector Initial Point

    Figuring Out Vector Initial Point

    374 views / 0 likes - added

    Figuring out vector initial point

  • 03:38 Example Calcuating Magnitude Of Vector From Graph

    Example Calcuating Magnitude Of Vector From Graph

    279 views / 0 likes - added

    Example calcuating magnitude of vector from graph

  • 03:06 Finding Vector Magnitude From Components

    Finding Vector Magnitude From Components

    270 views / 0 likes - added

    Finding vector magnitude from components

  • 06:21 Vector Components From Initial And Terminal Points

    Vector Components From Initial And Terminal Points

    404 views / 0 likes - added

    Vector components from initial and terminal points

  • 05:49 Example Of Vector Magnitude From Initial And Terminal Points

    Example Of Vector Magnitude From Initial And Terminal Points

    340 views / 0 likes - added

    Example of vector magnitude from initial and terminal points

  • 14:19 Vector Transformations

    Vector Transformations

    323 views / 0 likes - added

    Introduction to the notion of vector transformations More free lessons at: http://www.khanacademy.org/video?v=gAbadNuQEjI

  • 21:10 Matrix Vector Products

    Matrix Vector Products

    378 views / 0 likes - added

    Defining and understanding what it means to take the product of a matrix and a vector More free lessons at: http://www.khanacademy.org/video?v=7Mo4S2wyMg4

  • 09:54 Unit Vector Notation

    Unit Vector Notation

    252 views / 0 likes - added

    Expressing a vector as the scaled sum of unit vectors More free lessons at: http://www.khanacademy.org/video?v=FaF3v-ezbSk

  • 09:58 Normal vector from plane equation

    Normal vector from plane equation

    352 views / 0 likes - added

    Figuring out a normal vector to a plane from its equation More free lessons at: http://www.khanacademy.org/video?v=gw-4wltP5tY

  • 05:27 The First Results Are in From NASAs Closest Flyby of the Sun

    The First Results Are in From NASAs Closest Flyby of the Sun

    36 views / 0 likes - added

    The Parker Solar Probe sent back its first batch of results and the observations reveal various solar oddities never seen from Earth. Subscribe to Seeker! http://bit.ly/subscribeseeker Watch more Elements! http://bit.ly/ElementsPlaylist Visit our shop at

  • 14:20 Matrices to solve a vector combination problem

    Matrices to solve a vector combination problem

    280 views / 0 likes - added

    Using matrices to figure out if some combination of 2 vectors can create a 3rd vector More free lessons at: http://www.khanacademy.org/video?v=gsNgdVdAT1o

  • 10:46 Proving Vector Dot Product Properties

    Proving Vector Dot Product Properties

    348 views / 0 likes - added

    Proving the "associative", "distributive" and "commutative" properties for vector dot products. More free lessons at: http://www.khanacademy.org/video?v=rVQ3G9epCjw

  • 20:44 Popular Pokemon GO | CLOSEST GYM BATTLE EVER?!

    Pokemon GO | CLOSEST GYM BATTLE EVER?!

    820 views / 5 likes - added

    Pokemon GO | CLOSEST GYM BATTLE EVER?! ► Subscribe and join TeamTDM! :: http://bit.ly/TxtGm8 ► PREORDER MY NEW BOOK HERE :: http://smarturl.it/DanTDM ► Follow Me on Twitter :: http://www.twitter.com/DiamondMinecart ► Previous Video :: https://youtu.be/6mH

  • 13:53 Defining a plane in R3 with a point and normal vector

    Defining a plane in R3 with a point and normal vector

    391 views / 0 likes - added

    Determining the equation for a plane in R3 using a point on the plane and a normal vector More free lessons at: http://www.khanacademy.org/video?v=UJxgcVaNTqY

  • 03:15  Which Planet is the Closest?

    Which Planet is the Closest?

    57 views / 0 likes - added

    Thank you to my patrons for making this video possible: https://www.patreon.com/bePatron?u=227816Thoughts on the video: https://www.youtube.com/watch?v=LIS0IFmbZaIDiscuss on the reddit: https://www.reddit.com/r/CGPGrey/comments/dp5tx6/which_planet_is_clos

  • 09:13 Unit Vector Notation (part 2)

    Unit Vector Notation (part 2)

    302 views / 0 likes - added

    More on unit vector notation. Showing that adding the x and y components of two vectors is equivalent to adding the vectors visually using the head-to-tail method More free lessons at: http://www.khanacademy.org/video?v=595Tiga1gIg

  • 01:31 NASA released the closest-ever images of Jupiter’s Great Red Spot

    NASA released the closest-ever images of Jupiter’s Great Red Spot

    219 views / 0 likes - added

    As NASA's Juno probe flew over Jupiter on July 10th, it snapped photographs of the planet's most iconic feature, the Great Red Spot. Following is a transcript of the video. This is our closest look at Jupiter's iconic "Great Red Spot." These photographs w

  • 04:41 What is a vector? - David Huynh

    What is a vector? - David Huynh

    285 views / 1 likes - added

    View full lesson: http://ed.ted.com/lessons/what-is-a-vector-david-huynh Physicists, air traffic controllers, and video game creators all have at least one thing in common: vectors. But what exactly are they, and why do they matter? David Huynh explains h

  • 19:24 Linear Algebra: The Gram-Schmidt Process

    Linear Algebra: The Gram-Schmidt Process

    357 views / 0 likes - added

    Finding an orthonormal basis for a subspace using the Gram-Schmidt Process More free lessons at: http://www.khanacademy.org/video?v=rHonltF77zI

  • 08:52 Linear Models Example 1 | Algebra I | Khan Academy

    Linear Models Example 1 | Algebra I | Khan Academy

    360 views / 0 likes - added

    Linear model for book reading Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/linear-functions-modeling/e/constructing-and-interpreting-linear-functions?u

  • 08:23 Constructing Linear Functions Example 2 | Algebra I | Khan Academy

    Constructing Linear Functions Example 2 | Algebra I | Khan Academy

    252 views / 0 likes - added

    Linear model for painting Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/linear-functions-modeling/e/constructing-linear-functions-word-problems?utm_sour

  • 06:35 Constructing Linear Functions Example 1 | Algebra I | Khan Academy

    Constructing Linear Functions Example 1 | Algebra I | Khan Academy

    357 views / 0 likes - added

    Linear model for ice sheet thickness Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/linear-functions-modeling/e/constructing-linear-functions-word-proble

  • 03:12 Graphing Linear Functions Example 2 | Algebra I | Khan Academy

    Graphing Linear Functions Example 2 | Algebra I | Khan Academy

    320 views / 0 likes - added

    Graphing equation for filling pool Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/linear-functions-modeling/e/graphing-linear-functions-word-problems?utm

  • 12:14 Using a Linear Model

    Using a Linear Model

    258 views / 0 likes - added

    Using a Linear Model

  • 11:46 Predicting with Linear Models

    Predicting with Linear Models

    208 views / 0 likes - added

    Predicting with Linear Models

  • 08:52 Systems of Linear Inequalities

    Systems of Linear Inequalities

    296 views / 0 likes - added

    Systems of Linear Inequalities

  • 05:30 Graphing Linear Functions Example 1 | Algebra I | Khan Academy

    Graphing Linear Functions Example 1 | Algebra I | Khan Academy

    282 views / 0 likes - added

    Learn how graph a linear function. This video gives an example of graphing fuel consumption as a function of distance. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-

  • 02:40 Interpreting Linear Formulas Example 1 | Algebra I | Khan Academy

    Interpreting Linear Formulas Example 1 | Algebra I | Khan Academy

    362 views / 0 likes - added

    Interpreting a linear formula Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/interpreting_linear_functions/e/interpreting-features-of-linear-functions?ut

  • 05:37 Linear Models Example 2 | Algebra I | Khan Academy

    Linear Models Example 2 | Algebra I | Khan Academy

    277 views / 0 likes - added

    Marbles and water in tank Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/linear-functions-modeling/e/constructing-and-interpreting-linear-functions?utm_s

  • 04:59 Interpreting Visual Linear Inequality

    Interpreting Visual Linear Inequality

    244 views / 0 likes - added

    Interpreting visual linear inequality

  • 03:42 Understanding Linear Inequality With Two Variables

    Understanding Linear Inequality With Two Variables

    242 views / 0 likes - added

    Understanding linear inequality with two variables

  • 08:07 Standard Form For Linear Equations

    Standard Form For Linear Equations

    301 views / 0 likes - added

    Standard form for linear equations

  • 02:22 Setting Up A Linear Inequality In Two Variables

    Setting Up A Linear Inequality In Two Variables

    241 views / 0 likes - added

    Setting up a linear inequality in two variables

  • 04:20 Analyzing Two Variable Linear Inequality

    Analyzing Two Variable Linear Inequality

    383 views / 0 likes - added

    Analyzing two variable linear inequality

  • 08:15 Linear, Quadratic, and Exponential Models

    Linear, Quadratic, and Exponential Models

    436 views / 0 likes - added

    Linear, Quadratic, and Exponential Models

  • 08:02 3-variable linear equations (part 1)

    3-variable linear equations (part 1)

    342 views / 0 likes - added

    Visual intuition of a 3-variable linear equation.

  • 02:35 Interpreting Linear Formulas Example 2 | Algebra I | Khan Academy

    Interpreting Linear Formulas Example 2 | Algebra I | Khan Academy

    268 views / 0 likes - added

    Linear equation for file transfer Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/interpreting_linear_functions/e/interpreting-features-of-linear-function

  • 07:11 Graphing Solutions To Two-variable Linear Equations Example 2 | Algebra I | Khan Academy

    Graphing Solutions To Two-variable Linear Equations Example 2 | Algebra I | Khan Academy

    371 views / 0 likes - added

    Graphing solutions to 2 variable linear equations Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/solutions-to-two-var-linear-equations/e/graphing-solutio

  • 04:12 Constraining Solutions To Two Variable Linear Inequalities

    Constraining Solutions To Two Variable Linear Inequalities

    408 views / 0 likes - added

    Constraining solutions to two variable linear inequalities

  • 07:25 Domain And Range For Piecewise Linear Function

    Domain And Range For Piecewise Linear Function

    451 views / 0 likes - added

    Domain and range for piecewise linear function

  • 19:53 Linear Algebra - Matrix Transformations

    Linear Algebra - Matrix Transformations

    142 views / 0 likes - added

    Matrix multiplication and linear algebra explained with 3D animations.

  • 13:53 Linear Transformations

    Linear Transformations

    349 views / 0 likes - added

    Introduction to linear transformations More free lessons at: http://www.khanacademy.org/video?v=4PCktDZJH8E

  • 23:29 Linear Subspaces

    Linear Subspaces

    250 views / 0 likes - added

    Introduction to linear subspaces of Rn More free lessons at: http://www.khanacademy.org/video?v=pMFv6liWK4M

  • 17:38 More on linear independence

    More on linear independence

    272 views / 0 likes - added

    More examples determining linear dependence or independence. More free lessons at: http://www.khanacademy.org/video?v=Alhcv5d_XOs

  • 11:49 Linear Function Graphs

    Linear Function Graphs

    217 views / 0 likes - added

    Linear Function Graphs More free lessons at: http://www.khanacademy.org/video?v=EmTvdKkAUtE

  • 12:21 Compositions of Linear Transformations 1

    Compositions of Linear Transformations 1

    347 views / 0 likes - added

    Introduction to compositions of Linear Transformations More free lessons at: http://www.khanacademy.org/video?v=f_DTiXZpb8M

  • 02:42 Basic Linear Function

    Basic Linear Function

    239 views / 0 likes - added

    U03_L2_T4_we1 : Basic Linear Function Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education

  • 08:21 Two-variable Linear Equations And Their Graphs | Algebra I | Khan Academy

    Two-variable Linear Equations And Their Graphs | Algebra I | Khan Academy

    268 views / 0 likes - added

    Introduction to 2-variable linear equations and their graphs Watch the next lesson: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/solutions-to-two-var-linear-equations/v/checking-ordered-pair-solutions-to-equatio

  • 02:42 Graphing linear inequalities in two variables 2 (old and redone in newer video)

    Graphing linear inequalities in two variables 2 (old and redone in newer video)

    214 views / 0 likes - added

    U05_L2_T1_we2 : Graphing linear inequalities in two variables

  • 20:35 Linear Combinations and Span

    Linear Combinations and Span

    251 views / 0 likes - added

    Understanding linear combinations and spans of vectors More free lessons at: http://www.khanacademy.org/video?v=Qm_OS-8COwU

  • 10:09 Linear Equations in Standard Form

    Linear Equations in Standard Form

    280 views / 0 likes - added

    Linear Equations in Standard Form More free lessons at: http://www.khanacademy.org/video?v=BaQXFstxCMo

  • 08:30 Solving Linear Systems by Graphing

    Solving Linear Systems by Graphing

    240 views / 0 likes - added

    Solving Linear Systems by Graphing More free lessons at: http://www.khanacademy.org/video?v=5a6zpfl50go

  • 09:21 Solving Linear Systems by Substitution

    Solving Linear Systems by Substitution

    211 views / 0 likes - added

    Solving Linear Systems by Substitution More free lessons at: http://www.khanacademy.org/video?v=V7H1oUHXPkg

  • 15:18 Popular Special Types of Linear Systems

    Special Types of Linear Systems

    1,005 views / 0 likes - added

    Special Types of Linear Systems More free lessons at: http://www.khanacademy.org/video?v=5qkyuHIE2GM

  • 09:27 Linear Algebra: dim(V) + dim(orthogonoal complelent of V)=n

    Linear Algebra: dim(V) + dim(orthogonoal complelent of V)=n

    355 views / 0 likes - added

    Showing that if V is a subspace of Rn, then dim(V) + dim(V's orthogonal complement) = n More free lessons at: http://www.khanacademy.org/video?v=pGhBfkBqok0

  • 06:45 Algebra: Linear Equations 3

    Algebra: Linear Equations 3

    217 views / 0 likes - added

    Linear equations with multiple variable and constant terms More free lessons at: http://www.khanacademy.org/video?v=Zn-GbH2S0Dk

  • 17:52 Linear Transformation Examples: Rotations in R2

    Linear Transformation Examples: Rotations in R2

    353 views / 0 likes - added

    Linear Transformation Examples: Rotations in R2 More free lessons at: http://www.khanacademy.org/video?v=lPWfIq5DzqI

  • 14:58 Linear Equations in Slope Intercept Form

    Linear Equations in Slope Intercept Form

    258 views / 0 likes - added

    Linear Equations in Slope Intercept Form More free lessons at: http://www.khanacademy.org/video?v=5fkh01mClLU

  • 09:39 Linear Equations in Point Slope Form

    Linear Equations in Point Slope Form

    248 views / 0 likes - added

    Linear Equations in Point Slope Form More free lessons at: http://www.khanacademy.org/video?v=zqCokP2vDGo

  • 24:47 Linear Algebra: Parametric Representations of Lines

    Linear Algebra: Parametric Representations of Lines

    282 views / 0 likes - added

    Linear Algebra: Parametric Representations of Lines in R2 and R3 More free lessons at: http://www.khanacademy.org/video?v=hWhs2cIj7Cw

  • 11:59 Generalized Linear Consumption Function

    Generalized Linear Consumption Function

    218 views / 0 likes - added

    Generalizing a linear consumption function as a function of aggregate income More free lessons at: http://www.khanacademy.org/video?v=N44RZtJ4jj4

  • 01:50 NASA released its first incredible video of our closest look at Saturn yet

    NASA released its first incredible video of our closest look at Saturn yet

    403 views / 0 likes - added

    On April 26, the Cassini spacecraft flew closer to Saturn than ever before — between the gap that separates the planet from its rings. Since then, Cassini has been transmitting dozens of images of Saturn's surface. Here, NASA has compiled all the images i

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  • 11:35 Null Space 3: Relation to Linear Independence

    Null Space 3: Relation to Linear Independence

    335 views / 0 likes - added

    Understanding how the null space of a matrix relates to the linear independence of its column vectors More free lessons at: http://www.khanacademy.org/video?v=vFctYRhK2M0

  • 03:25 Chicago Blackhawks Projection Show

    Chicago Blackhawks Projection Show

    243 views / 0 likes - added

    The following footage features a unique full-color laser controlled by touch-designer. The device was projecting generative visuals to the woods and we captured the process to represent the experiment in this video. Credits Creative Director: Ivan Nefedki

  • 09:45 2nd Order Linear Homogeneous Differential Equations 1

    2nd Order Linear Homogeneous Differential Equations 1

    285 views / 0 likes - added

    Introduction to 2nd order, linear, homogeneous differential equations with constant coefficients. More free lessons at: http://www.khanacademy.org/video?v=UFWAu8Ptth0

  • 06:57 Non-Linear Systems of Equations 3

    Non-Linear Systems of Equations 3

    238 views / 0 likes - added

    U10_L2_T2_we3 Non-Linear Systems of Equations 3 More free lessons at: http://www.khanacademy.org/video?v=FksgVpM_iXs Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education

  • 04:58 Exploring linear relationships

    Exploring linear relationships

    317 views / 0 likes - added

    U03_L2_T4_we2 : Exploring linear relationships More free lessons at: http://www.khanacademy.org/video?v=qPx7i1jwXX4 Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education

  • 04:01 Recognizing Linear Functions

    Recognizing Linear Functions

    213 views / 0 likes - added

    U03_L2_T5_we1 : Recognizing Linear Functions More free lessons at: http://www.khanacademy.org/video?v=AZroE4fJqtQ Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education

  • 05:45 Non-Linear Systems of Equations 1

    Non-Linear Systems of Equations 1

    198 views / 0 likes - added

    U10_L2_T2_we1 Non-Linear Systems of Equations 1 More free lessons at: http://www.khanacademy.org/video?v=hjigR_rHKDI Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education

  • 08:22 Non-Linear Systems of Equations 2

    Non-Linear Systems of Equations 2

    199 views / 0 likes - added

    U10_L2_T2_we2 Non-Linear Systems of Equations 2 More free lessons at: http://www.khanacademy.org/video?v=XPf8LMu7QSw Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education

  • 15:09 Sums and Scalar Multiples of Linear Transformations

    Sums and Scalar Multiples of Linear Transformations

    350 views / 0 likes - added

    Sums and Scalar Multiples of Linear Transformations. Definitions of matrix addition and scalar multiplication. More free lessons at: http://www.khanacademy.org/video?v=wHuY97vss18

  • 03:03 Graphing Linear Inequalities in Two Variables Example 2

    Graphing Linear Inequalities in Two Variables Example 2

    195 views / 0 likes - added

    U05_L2_T1_WE2 Graphing Linear Inequalities in Two Variables More free lessons at: http://www.khanacademy.org/video?v=FnrqBgot3jM Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education

  • 03:20 Graphing linear inequalities in two variables 3

    Graphing linear inequalities in two variables 3

    201 views / 0 likes - added

    U05_L2_T1_we3 : Graphing linear inequalities in two variables More free lessons at: http://www.khanacademy.org/video?v=YBYu5aZPLeg Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education

  • 07:08 Early Train Word Problem | Linear Equations | Algebra I | Khan Academy

    Early Train Word Problem | Linear Equations | Algebra I | Khan Academy

    377 views / 0 likes - added

    Fun word problem that is almost a brain teaser. Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/More-equation-practice/v/patterns-in-sequences-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI

  • 02:15 Solving and graphing linear inequalities in two variables 1

    Solving and graphing linear inequalities in two variables 1

    226 views / 0 likes - added

    U05_L2_T1_we1 : Solving and graphing linear inequalities in two variables More free lessons at: http://www.khanacademy.org/video?v=EoCeL4SPIcA Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education

  • 03:27 Lin Alg: Orthogonal Complement of the Nullspace

    Lin Alg: Orthogonal Complement of the Nullspace

    389 views / 0 likes - added

    The orthogonal complement of the nullspace and left nullspace. More free lessons at: http://www.khanacademy.org/video?v=LE_aQAur7nI

  • 12:34 Lin Alg: Showing that A-transpose x A is invertible

    Lin Alg: Showing that A-transpose x A is invertible

    404 views / 0 likes - added

    Showing that (transpose of A)(A) is invertible if A has linearly independent columns More free lessons at: http://www.khanacademy.org/video?v=ESSMQH6Y5OA

  • 19:50 Lin Alg: Visualizations of Left Nullspace and Rowspace

    Lin Alg: Visualizations of Left Nullspace and Rowspace

    330 views / 0 likes - added

    Relationship between left nullspace, rowspace, column space and nullspace. More free lessons at: http://www.khanacademy.org/video?v=GW8ZPjGlk24

  • 13:34 Lin Alg: Invertible Change of Basis Matrix

    Lin Alg: Invertible Change of Basis Matrix

    350 views / 0 likes - added

    Using an invertible change of basis matrix to go between different coordinate systems More free lessons at: http://www.khanacademy.org/video?v=meibWcbGqt4

  • 18:02 Lin Alg: Transformation Matrix with Respect to a Basis

    Lin Alg: Transformation Matrix with Respect to a Basis

    384 views / 0 likes - added

    Finding the transformation matrix with respect to a non-standard basis More free lessons at: http://www.khanacademy.org/video?v=PiuhTj0zCf4

  • 19:12 Lin Alg: Unique rowspace solution to Ax=b

    Lin Alg: Unique rowspace solution to Ax=b

    389 views / 0 likes - added

    Showing that, for any b that is in the column space of A, there is a unique member of the row space that is the "smallest" solution to Ax=b More free lessons at: http://www.khanacademy.org/video?v=czIYvs9zj2g

  • 13:20 Lin Alg: Alternate Basis Tranformation Matrix Example

    Lin Alg: Alternate Basis Tranformation Matrix Example

    470 views / 0 likes - added

    Example of finding the transformation matrix for an alternate basis More free lessons at: http://www.khanacademy.org/video?v=lCRGNykWqFI

  • 16:14 Lin Alg: Projections onto subspaces with orthonormal bases

    Lin Alg: Projections onto subspaces with orthonormal bases

    351 views / 0 likes - added

    Projections onto subspaces with orthonormal bases More free lessons at: http://www.khanacademy.org/video?v=we829K4NOq8

  • 07:34 Vector Forces

    Vector Forces

    148 views / 0 likes - added

    Easy to understand 3D animations explaining force vectors.

  • 11:16 Lin Alg:  Orthogonal matrices preserve angles and lengths

    Lin Alg: Orthogonal matrices preserve angles and lengths

    429 views / 0 likes - added

    Showing that orthogonal matrices preserve angles and lengths More free lessons at: http://www.khanacademy.org/video?v=yDwIfYjKEeo

  • 12:36 Lin Alg: Alternate Basis Tranformation Matrix Example Part 2

    Lin Alg: Alternate Basis Tranformation Matrix Example Part 2

    363 views / 0 likes - added

    Showing that the transformation matrix with respect to basis B actually works. Brief point on why someone would want to operate in a different basis to begin with. More free lessons at: http://www.khanacademy.org/video?v=EyORbCPUAd4

  • 29:00 Lin Alg: Changing coordinate systems to help find a transformation matrix

    Lin Alg: Changing coordinate systems to help find a transformation matrix

    502 views / 0 likes - added

    Changing our coordinate system to find the transformation matrix with respect to standard coordinates More free lessons at: http://www.khanacademy.org/video?v=K_na_j1Msfg

  • 08:40 The Closest Feeling to Death that isn't Death

    The Closest Feeling to Death that isn't Death

    40 views / 0 likes - added

    i feel like dieOther Animator Buddies:Nellie: https://www.youtube.com/channel/UCHimPYk1csmmOSGKF4pKelg?&ab_channel=NellieTartJay: https://www.youtube.com/xjaystarzxBanimation: https://www.youtube.com/c/banimationDevon: https://www.instagram.com/devonkong/

  • 14:25 Vector Triple Product Expansion (very optional)

    Vector Triple Product Expansion (very optional)

    471 views / 0 likes - added

    A shortcut for having to evaluate the cross product of three vectors More free lessons at: http://www.khanacademy.org/video?v=b7JTVLc_aMk

  • 09:47 Calculating dot and cross products with unit vector notation

    Calculating dot and cross products with unit vector notation

    287 views / 0 likes - added

    Calculating the dot and cross products when vectors are presented in their x, y, and z (or i,j, and k) components. More free lessons at: http://www.khanacademy.org/video?v=enr7JqvehJs

  • 27:04 Lin Alg: Example using orthogonal change-of-basis matrix to find transformation matrix

    Lin Alg: Example using orthogonal change-of-basis matrix to find transformation matrix

    392 views / 0 likes - added

    Example using orthogonal change-of-basis matrix to find transformation matrix More free lessons at: http://www.khanacademy.org/video?v=gfVY7cW7VLQ

  • 02:38 Graphing Linear Equations — Harder Example | Math | New SAT | Khan Academy

    Graphing Linear Equations — Harder Example | Math | New SAT | Khan Academy

    326 views / 0 likes - added

    Watch Sal work through a harder Graphing linear equations problem. Watch the next lesson: https://www.khanacademy.org/test-prep/new-sat/new-sat-math/new-sat-heart-of-algebra/v/sat-math-h3-easier?utm_source=YT&utm_medium=Desc&utm_campaign=NewSAT Missed the

  • 03:22 Linear And Quadratic Systems — Harder Example | Math | New SAT | Khan Academy

    Linear And Quadratic Systems — Harder Example | Math | New SAT | Khan Academy

    286 views / 0 likes - added

    Watch Sal work through a harder Linear and quadratic systems problem. Watch the next lesson: https://www.khanacademy.org/test-prep/new-sat/new-sat-math/new-sat-passport-advanced-mathematics/v/sat-math-p4-easier?utm_source=YT&utm_medium=Desc&utm_campaign=N

  • 04:50 Linear And Quadratic Systems — Basic Example | Math | New SAT | Khan Academy

    Linear And Quadratic Systems — Basic Example | Math | New SAT | Khan Academy

    327 views / 0 likes - added

    Watch Sal work through a basic Linear and quadratic systems problem. Watch the next lesson: https://www.khanacademy.org/test-prep/new-sat/new-sat-math/new-sat-passport-advanced-mathematics/v/sat-math-p8-harder?utm_source=YT&utm_medium=Desc&utm_campaign=Ne

  • 05:18 Linear And Exponential Growth — Harder Example | Math | New SAT | Khan Academy

    Linear And Exponential Growth — Harder Example | Math | New SAT | Khan Academy

    374 views / 0 likes - added

    Watch Sal work through a harder Linear and exponential growth problem. Watch the next lesson: https://www.khanacademy.org/test-prep/new-sat/new-sat-math/new-sat-problem-solving-data-analysis/v/sat-math-q8-easier?utm_source=YT&utm_medium=Desc&utm_campaign=

  • 02:28 Linear And Exponential Growth — Basic Example | Math | New SAT | Khan Academy

    Linear And Exponential Growth — Basic Example | Math | New SAT | Khan Academy

    329 views / 0 likes - added

    Watch Sal work through a basic Linear and exponential growth problem. Watch the next lesson: https://www.khanacademy.org/test-prep/new-sat/new-sat-math/new-sat-problem-solving-data-analysis/v/sat-math-q6-harder?utm_source=YT&utm_medium=Desc&utm_campaign=N

  • 02:55 Linear Equation Word Problems — Basic Example | Math | New SAT | Khan Academy

    Linear Equation Word Problems — Basic Example | Math | New SAT | Khan Academy

    484 views / 0 likes - added

    Watch Sal work through a basic Linear equations word problem. Watch the next lesson: https://www.khanacademy.org/test-prep/new-sat/new-sat-math/new-sat-heart-of-algebra/v/sat-math-h2-easier?utm_source=YT&utm_medium=Desc&utm_campaign=NewSAT Missed the prev

  • 14:37 Introduction to Projections

    Introduction to Projections

    344 views / 0 likes - added

    Determining the projection of a vector on s line More free lessons at: http://www.khanacademy.org/video?v=27vT-NWuw0M

  • 13:10 Graphs of Linear Equations

    Graphs of Linear Equations

    204 views / 0 likes - added

    More free lessons at: http://www.khanacademy.org/video?v=rgvysb9emcQ

  • 13:25 Linear Algebra: Another Least Squares Example

    Linear Algebra: Another Least Squares Example

    371 views / 0 likes - added

    Using least squares approximation to fit a line to points More free lessons at: http://www.khanacademy.org/video?v=QkepM8Vv3kw

  • 07:28 Algebra: Linear Equations 1

    Algebra: Linear Equations 1

    233 views / 0 likes - added

    equations of the form AX=B More free lessons at: http://www.khanacademy.org/video?v=bAerID24QJ0

  • 16:31 Compositions of Linear Transformations 2

    Compositions of Linear Transformations 2

    367 views / 0 likes - added

    Providing the motivation for definition of matrix products More free lessons at: http://www.khanacademy.org/video?v=BuqcKpe5ZQs

  • 06:07 Algebra: Linear Equations 2

    Algebra: Linear Equations 2

    224 views / 0 likes - added

    solving equations of the form AX+B=C More free lessons at: http://www.khanacademy.org/video?v=DopnmxeMt-s

  • 16:53 Span and Linear Independence Example

    Span and Linear Independence Example

    263 views / 0 likes - added

    Determining whether 3 vectors are linearly independent and/or span R3 More free lessons at: http://www.khanacademy.org/video?v=9kW6zFK5E5c

  • 18:40 Linear Algebra: nxn Determinant

    Linear Algebra: nxn Determinant

    350 views / 0 likes - added

    Defining the determinant for nxn matrices. An exampled of a 4x4 determinant. More free lessons at: http://www.khanacademy.org/video?v=H9BWRYJNIv4

  • 15:32 Linear Algebra: Least Squares Approximation

    Linear Algebra: Least Squares Approximation

    370 views / 0 likes - added

    The least squares approximation for otherwise unsolvable equations More free lessons at: http://www.khanacademy.org/video?v=MC7l96tW8V8

  • 22:08 Linear Algebra: Orthogonal Complements

    Linear Algebra: Orthogonal Complements

    382 views / 0 likes - added

    Orthogonal Complements as subspaces. More free lessons at: http://www.khanacademy.org/video?v=QOTjdgmNqlg

  • 18:50 Linear Algebra: Least Squares Examples

    Linear Algebra: Least Squares Examples

    378 views / 0 likes - added

    An example using the least squares solution to an unsolvable system More free lessons at: http://www.khanacademy.org/video?v=8mAZYv5wIcE

  • 08:37 Linear Algebra: Transpose of a Matrix

    Linear Algebra: Transpose of a Matrix

    352 views / 0 likes - added

    Transpose of a matrix More free lessons at: http://www.khanacademy.org/video?v=2t0003_sxtU

  • 17:26 Linear Algebra: Projections onto Subspaces

    Linear Algebra: Projections onto Subspaces

    393 views / 0 likes - added

    Projections onto subspaces More free lessons at: http://www.khanacademy.org/video?v=5B8XluiqdHM

  • 14:10 Linear Algebra:  Determinant of Transpose

    Linear Algebra: Determinant of Transpose

    381 views / 0 likes - added

    Proof by induction that transposing a matrix does not change its determinant More free lessons at: http://www.khanacademy.org/video?v=x-GV2v0dRNE

  • 10:01 Linear Algebra: 3x3 Determinant

    Linear Algebra: 3x3 Determinant

    370 views / 0 likes - added

    Determinants: Finding the determinant of a 3x3 matrix More free lessons at: http://www.khanacademy.org/video?v=0c7dt2SQfLw

  • 15:13 Linear Transformation Examples: Scaling and Reflections

    Linear Transformation Examples: Scaling and Reflections

    356 views / 0 likes - added

    Creating scaling and reflection transformation matrices (which are diagonal) More free lessons at: http://www.khanacademy.org/video?v=qkfODKmZ-x4

  • 15:47 Linear Algebra: Cross Product Introduction

    Linear Algebra: Cross Product Introduction

    279 views / 0 likes - added

    Introduction to the cross product More free lessons at: http://www.khanacademy.org/video?v=pJzmiywagfY

  • 09:03 Linear Algebra: Determinants along other rows/cols

    Linear Algebra: Determinants along other rows/cols

    347 views / 0 likes - added

    Finding the determinant by going along other rows or columns More free lessons at: http://www.khanacademy.org/video?v=nu87kfmwNfU

  • 23:19 Linear Algebra: Rowspace and Left Nullspace

    Linear Algebra: Rowspace and Left Nullspace

    359 views / 0 likes - added

    Rowspace and Left Nullspace More free lessons at: http://www.khanacademy.org/video?v=qBfc57x_RSg

  • 07:18 Linear Algebra: Rule of Sarrus of Determinants

    Linear Algebra: Rule of Sarrus of Determinants

    373 views / 0 likes - added

    A alternative "short cut" for calculating 3x3 determinants (Rule of Sarrus) More free lessons at: http://www.khanacademy.org/video?v=4xFIi0JF2AM

  • 13:14 Linear Algebra: Gram-Schmidt Process Example

    Linear Algebra: Gram-Schmidt Process Example

    363 views / 0 likes - added

    Using Gram-Schmidt to find an orthonormal basis for a plane in R3 More free lessons at: http://www.khanacademy.org/video?v=tu1GPtfsQ7M

  • 16:55 Linear Algebra: Determinant when row is added

    Linear Algebra: Determinant when row is added

    374 views / 0 likes - added

    The determinant when one matrix has a row that is the sum of the rows of other matrices (and every other term is identical in the 3 matrices) More free lessons at: http://www.khanacademy.org/video?v=VrB3LaSD_uo

  • 16:08 Linear Algebra: Coordinates with Respect to a Basis

    Linear Algebra: Coordinates with Respect to a Basis

    362 views / 0 likes - added

    Understanding alternate coordinate systems More free lessons at: http://www.khanacademy.org/video?v=uvgru6FcyxU

  • 07:43 Linear Algebra: Introduction to Eigenvalues and Eigenvectors

    Linear Algebra: Introduction to Eigenvalues and Eigenvectors

    377 views / 0 likes - added

    What eigenvectors and eigenvalues are and why they are interesting More free lessons at: http://www.khanacademy.org/video?v=PhfbEr2btGQ

  • 18:14 Linear Algebra: Matrix Product Examples

    Linear Algebra: Matrix Product Examples

    363 views / 0 likes - added

    Example of taking the product of two matrices More free lessons at: http://www.khanacademy.org/video?v=x1z0hOyjapU

  • 08:19 Linear Algebra: Duplicate Row Determinant

    Linear Algebra: Duplicate Row Determinant

    395 views / 0 likes - added

    Determinant of a matrix with duplicate rows More free lessons at: http://www.khanacademy.org/video?v=gYv8sttBIqs

  • 17:55 Linear Algebra: Change of Basis Matrix

    Linear Algebra: Change of Basis Matrix

    407 views / 0 likes - added

    Using a change of basis matrix to get us from one coordinate system to another. More free lessons at: http://www.khanacademy.org/video?v=1j5WnqwMdCk

  • 18:54 Linear Algebra: Introduction to the inverse of a function

    Linear Algebra: Introduction to the inverse of a function

    349 views / 0 likes - added

    Introduction to the inverse of a function More free lessons at: http://www.khanacademy.org/video?v=-eAzhBZgq28

  • 10:25 Linear Algebra: Determinant after row operations

    Linear Algebra: Determinant after row operations

    345 views / 0 likes - added

    What happens to the determinant when we perform a row operation More free lessons at: http://www.khanacademy.org/video?v=kpG7xySkivg

  • 08:07 Linear Algebra: Upper Triangular Determinant

    Linear Algebra: Upper Triangular Determinant

    377 views / 0 likes - added

    The determinant of an upper triangular matrix More free lessons at: http://www.khanacademy.org/video?v=VX7K8iqoiRc

  • 14:34 Linear Algebra:  Finding Eigenvectors and Eigenspaces example

    Linear Algebra: Finding Eigenvectors and Eigenspaces example

    407 views / 0 likes - added

    Finding the eigenvectors and eigenspaces of a 2x2 matrix More free lessons at: http://www.khanacademy.org/video?v=3-xfmbdzkqc

  • 20:00 Linear Algebra: Matrix condition for one-to-one trans

    Linear Algebra: Matrix condition for one-to-one trans

    385 views / 0 likes - added

    Showing that the rank of the of an mxn transformation matrix has to be an for the transformation to be one-to-one (injective) More free lessons at: http://www.khanacademy.org/video?v=M3FuL9qKTBs

  • 09:13 Linear Algebra: Simpler 4x4 determinant

    Linear Algebra: Simpler 4x4 determinant

    382 views / 0 likes - added

    Calculating a 4x4 determinant by putting in in upper triangular form first. More free lessons at: http://www.khanacademy.org/video?v=QV0jsTiobU4

  • 14:08 Linear Algebra: Eigenvalues of a 3x3 matrix

    Linear Algebra: Eigenvalues of a 3x3 matrix

    371 views / 0 likes - added

    Determining the eigenvalues of a 3x3 matrix More free lessons at: http://www.khanacademy.org/video?v=11dNghWC4HI

  • 06:37 Linear Algebra: Simplifying conditions for invertibility

    Linear Algebra: Simplifying conditions for invertibility

    340 views / 0 likes - added

    Showing that a transformation is invertible if and only if rref(A) is equal to the identity matrix More free lessons at: http://www.khanacademy.org/video?v=Yz2OosyMTmY

  • 21:38 Linear Algebra:  Determinant and area of a parallelogram

    Linear Algebra: Determinant and area of a parallelogram

    462 views / 0 likes - added

    Realizing that the determinant of a 2x2 matrix is equal to the area of the parallelogram defined by the column vectors of the matrix More free lessons at: http://www.khanacademy.org/video?v=n-S63_goDFg

  • 20:10 Linear Algebra: Determinant as Scaling Factor

    Linear Algebra: Determinant as Scaling Factor

    414 views / 0 likes - added

    Viewing the determinant of the transformation matrix as a scaling factor of regions More free lessons at: http://www.khanacademy.org/video?v=g3MqSdO5Ubc

  • 11:16 Linear Algebra: Introduction to Orthonormal Bases

    Linear Algebra: Introduction to Orthonormal Bases

    373 views / 0 likes - added

    Looking at sets and bases that are orthonormal -- or where all the vectors have length 1 and are orthogonal to each other. More free lessons at: http://www.khanacademy.org/video?v=7BFx8pt2aTQ

  • 06:22 Linear Algebra: Example of Finding Matrix Inverse

    Linear Algebra: Example of Finding Matrix Inverse

    347 views / 0 likes - added

    Example of calculating the inverse of a matrix More free lessons at: http://www.khanacademy.org/video?v=r9aTLTN16V4

  • 13:24 Basic Linear Functions - Math Antics

    Basic Linear Functions - Math Antics

    531 views / 1 likes - added

    Learn More at mathantics.com Visit http://www.mathantics.com for more Free math videos and additional subscription based content!

  • 18:20 Linear Algebra: Formula for 2x2 inverse

    Linear Algebra: Formula for 2x2 inverse

    365 views / 0 likes - added

    Figuring out the formula for a 2x2 matrix. Defining the determinant. More free lessons at: http://www.khanacademy.org/video?v=eEUK_ThrHuQ

  • 08:50 Linear Algebra: Transpose of a Matrix Product

    Linear Algebra: Transpose of a Matrix Product

    361 views / 0 likes - added

    Taking the transpose of the product of two matrices More free lessons at: http://www.khanacademy.org/video?v=UdHgWK13x5I

  • 08:41 Linear Algebra:  Transposes of sums and inverses

    Linear Algebra: Transposes of sums and inverses

    373 views / 0 likes - added

    Transposes of sums and inverses More free lessons at: http://www.khanacademy.org/video?v=Br_8t58mdeI

  • 12:18 Lin Alg:  Orthogonal Complement of the Orthogonal Complement

    Lin Alg: Orthogonal Complement of the Orthogonal Complement

    353 views / 0 likes - added

    Finding that the orthogonal complement of the orthogonal complement of V is V More free lessons at: http://www.khanacademy.org/video?v=zlI8mx8Hc8o

  • 05:59 2nd Order Linear Homogeneous Differential Equations 3

    2nd Order Linear Homogeneous Differential Equations 3

    276 views / 0 likes - added

    Let's use some initial conditions to solve for the particular solution More free lessons at: http://www.khanacademy.org/video?v=UyCwAFQt4v0

  • 09:11 2nd Order Linear Homogeneous Differential Equations 4

    2nd Order Linear Homogeneous Differential Equations 4

    343 views / 0 likes - added

    Another example with initial conditions! More free lessons at: http://www.khanacademy.org/video?v=3uO_uPb9H8w

  • 13:20 Linear Algebra: Determinant when row multiplied by scalar

    Linear Algebra: Determinant when row multiplied by scalar

    357 views / 0 likes - added

    The determinant when a row is multiplied by a scalar More free lessons at: http://www.khanacademy.org/video?v=32rdijPB-rA

  • 02:52 Linear Algebra: (correction) scalar muliplication of row

    Linear Algebra: (correction) scalar muliplication of row

    443 views / 0 likes - added

    Correction of last video showing that the determinant when one row is multiplied by a scalar is equal to the scalar times the determinant More free lessons at: http://www.khanacademy.org/video?v=WY6QG0mZ7uQ

  • 13:57 Linear Algebra:  Gram-Schmidt example with 3 basis vectors

    Linear Algebra: Gram-Schmidt example with 3 basis vectors

    400 views / 0 likes - added

    Gram-Schmidt example with 3 basis vectors More free lessons at: http://www.khanacademy.org/video?v=ZRRG386v6DI

  • 09:19 Linear Algebra: Proof of formula for determining Eigenvalues

    Linear Algebra: Proof of formula for determining Eigenvalues

    399 views / 0 likes - added

    Proof of formula for determining Eigenvalues More free lessons at: http://www.khanacademy.org/video?v=rfm0wQObxjk

  • 05:39 Linear Algebra: Example solving for the eigenvalues of a 2x2 matrix

    Linear Algebra: Example solving for the eigenvalues of a 2x2 matrix

    392 views / 0 likes - added

    Example solving for the eigenvalues of a 2x2 matrix More free lessons at: http://www.khanacademy.org/video?v=pZ6mMVEE89g

  • 16:34 Linear Algebra: Exploring the solution set of Ax=b

    Linear Algebra: Exploring the solution set of Ax=b

    354 views / 0 likes - added

    Exploring the solution set of Ax=b (non homogeneous equations) More free lessons at: http://www.khanacademy.org/video?v=1PsNIzUJPkc

  • 15:34 Linear Algebra:  Eigenvectors and Eigenspaces for a 3x3 matrix

    Linear Algebra: Eigenvectors and Eigenspaces for a 3x3 matrix

    354 views / 0 likes - added

    Eigenvectors and eigenspaces for a 3x3 matrix More free lessons at: http://www.khanacademy.org/video?v=3Md5KCCQX-0

  • 18:00 Linear Algebra: Deriving a method for determining inverses

    Linear Algebra: Deriving a method for determining inverses

    352 views / 0 likes - added

    Determining a method for constructing inverse transformation matrices More free lessons at: http://www.khanacademy.org/video?v=6DpzCKJBsz0

  • 15:28 Linear Algebra: Coordinates with respect to orthonormal bases

    Linear Algebra: Coordinates with respect to orthonormal bases

    457 views / 0 likes - added

    Seeing that orthonormal bases make for good coordinate systems More free lessons at: http://www.khanacademy.org/video?v=SWbis2zWIvo

  • 08:28 2nd Order Linear Homogeneous Differential Equations 2

    2nd Order Linear Homogeneous Differential Equations 2

    291 views / 0 likes - added

    Let's find the general solution! More free lessons at: http://www.khanacademy.org/video?v=SPVqgkOZMAc

  • 13:09 Linear Algebra:  Showing that an eigenbasis makes for good coordinate systems

    Linear Algebra: Showing that an eigenbasis makes for good coordinate systems

    374 views / 0 likes - added

    Showing that an eigenbasis makes for good coordinate systems More free lessons at: http://www.khanacademy.org/video?v=C2PC9185gIw

  • 16:37 im(T):  Image of a Transformation

    im(T): Image of a Transformation

    381 views / 0 likes - added

    Showing that the image of a subspace under a transformation is also a subspace. Definition of the image of a Transformation. More free lessons at: http://www.khanacademy.org/video?v=hZ827mfh1Jo

  • 11:14 Linear Algebra: Rank(A) = Rank(transpose of A)

    Linear Algebra: Rank(A) = Rank(transpose of A)

    437 views / 0 likes - added

    Rank(A) = Rank(transpose of A) More free lessons at: http://www.khanacademy.org/video?v=tqqVOWm9YsU

  • 08:33 Showing relation between basis cols and pivot cols

    Showing relation between basis cols and pivot cols

    324 views / 0 likes - added

    Showing that linear independence of pivot columns implies linear independence of the corresponding columns in the original equation More free lessons at: http://www.khanacademy.org/video?v=BfVjTOjvI30

  • 10:23 Introduction to the Null Space of a Matrix

    Introduction to the Null Space of a Matrix

    325 views / 0 likes - added

    Showing that the Null Space of a Matrix is a valid Subspace More free lessons at: http://www.khanacademy.org/video?v=jCwRV1QL_Xs

  • 05:51 Equivalent Fractions | Fractions | Pre-Algebra | Khan Academy

    Equivalent Fractions | Fractions | Pre-Algebra | Khan Academy

    387 views / 0 likes - added

    Introduces the concept of equivalent fractions Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/equivalent-fractions-pre-alg/e/equivalent_fractions?utm_source=YT&utm_medium=Desc&utm

  • 03:53 Plotting Basic Fractions On The Number Line | Fractions | Pre-Algebra | Khan Academy

    Plotting Basic Fractions On The Number Line | Fractions | Pre-Algebra | Khan Academy

    419 views / 0 likes - added

    Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/understanding-fractions-pre-alg/e/fractions_on_the_number_line_1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the nex

  • 09:50 Adding And Subtracting Fractions | Fractions | Pre-Algebra | Khan Academy

    Adding And Subtracting Fractions | Fractions | Pre-Algebra | Khan Academy

    498 views / 1 likes - added

    How to add and subtract fractions. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/fractions-unlike-denom-pre-alg/e/adding_fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreA

  • 01:11 Subtracting Decimals: Example 1 | Decimals | Pre-Algebra | Khan Academy

    Subtracting Decimals: Example 1 | Decimals | Pre-Algebra | Khan Academy

    340 views / 0 likes - added

    Subtracting decimals...up to the hundredths placement. Line up those decimals before you start. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/adding-decimals-pre-alg/e/subtracting

  • 04:33 Multiplying Negative And Positive Fractions | Fractions | Pre-Algebra | Khan Academy

    Multiplying Negative And Positive Fractions | Fractions | Pre-Algebra | Khan Academy

    373 views / 0 likes - added

    See examples of multiplying and dividing fractions with negative numbers. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/multiplying-fractions-pre-alg/e/multiplying_fractions?utm_

  • 06:29 Multiplying Decimals: Place Value And Reordering | Decimals | Pre-Algebra | Khan Academy

    Multiplying Decimals: Place Value And Reordering | Decimals | Pre-Algebra | Khan Academy

    406 views / 0 likes - added

    We want you to develop an intuition about how to work with decimals. Understanding how you can rewrite decimals by considering the place value will help you multiply! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/

  • 02:39 Comparing Decimals: Ordering From Least To Greatest | Decimals | Pre-Algebra | Khan Academy

    Comparing Decimals: Ordering From Least To Greatest | Decimals | Pre-Algebra | Khan Academy

    378 views / 0 likes - added

    This is a fun example where we reorder decimals from smallest to largest. You're looking for the place value that is the most significant, and then working backwards. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/

  • 03:50 Introduction To Multiplying Decimals | Decimals | Pre-Algebra | Khan Academy

    Introduction To Multiplying Decimals | Decimals | Pre-Algebra | Khan Academy

    393 views / 0 likes - added

    Multiplying decimals can be confusing because there's always the question as to where the decimals goes in the answer. We're about to show you so you'll never have to question it again! Practice this lesson yourself on KhanAcademy.org right now: https://w

  • 09:23 Converting Fractions To Decimals | Decimals | Pre-Algebra | Khan Academy

    Converting Fractions To Decimals | Decimals | Pre-Algebra | Khan Academy

    416 views / 1 likes - added

    How to express a fraction as a decimal Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimal-to-fraction-pre-alg/e/converting_fractions_to_decimals?utm_source=YT&utm_medium=Desc&u

  • 04:20 Dividing A Whole Number By A Decimal | Decimals | Pre-Algebra | Khan Academy

    Dividing A Whole Number By A Decimal | Decimals | Pre-Algebra | Khan Academy

    374 views / 1 likes - added

    When dividing a whole number by a decimal, you're going to need to change that decimal into a whole number. How? We'll show you. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/divi

  • 09:29 Dividing Decimals With Hundredths Example 3 | Decimals | Pre-Algebra | Khan Academy

    Dividing Decimals With Hundredths Example 3 | Decimals | Pre-Algebra | Khan Academy

    364 views / 0 likes - added

    The old saying is "practice makes perfect." Let's keep practicing dividing decimals and making our divisor a whole number. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/dividing-d

  • 09:15 Mixed Numbers And Improper Fractions | Fractions | Pre-Algebra | Khan Academy

    Mixed Numbers And Improper Fractions | Fractions | Pre-Algebra | Khan Academy

    440 views / 1 likes - added

    Converting mixed numbers to improper fractions and improper fractions to mixed numbers Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-numbers-pre-alg/e/converting_mixed_numb

  • 05:42 Understanding Division Of Fractions | Fractions | Pre-Algebra | Khan Academy

    Understanding Division Of Fractions | Fractions | Pre-Algebra | Khan Academy

    374 views / 0 likes - added

    Using a number line, we'll explain the rule of "invert and multiply" when dividing two fractions. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/div-fractions-fractions-pre-alg/e/

  • 02:35 Dividing Whole Numbers And Fractions: Studying | Fractions | Pre-Algebra | Khan Academy

    Dividing Whole Numbers And Fractions: Studying | Fractions | Pre-Algebra | Khan Academy

    460 views / 0 likes - added

    Solve a word problem by dividing a fraction by a whole number. The example used in this video is 1/5 ÷ 4. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/dividing-fractions-pre-alg

  • 03:33 Finding A Percentage | Decimals | Pre-Algebra | Khan Academy

    Finding A Percentage | Decimals | Pre-Algebra | Khan Academy

    375 views / 0 likes - added

    Once again, fractions are our friends as we use them to find a percentage. You'll also see a couple of different ways to arrive at the answer. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimal

  • 03:08 Multiplying Unit Fractions And Whole Numbers | Fractions | Pre-Algebra | Khan Academy

    Multiplying Unit Fractions And Whole Numbers | Fractions | Pre-Algebra | Khan Academy

    412 views / 1 likes - added

    Don't let multiplying whole numbers and fractions get you down. We got this. This explanation will help you become a pro. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/multiplyin


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