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# Search Results: "Linear Transformations as Matrix Vector Products"

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• 17:04

### Matrix Vector Products as Linear Transformations

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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

417 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

• 21:10

### Matrix Vector Products

362 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

• 19:53

### Linear Algebra - Matrix Transformations

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Matrix multiplication and linear algebra explained with 3D animations.

• 12:07

### Linear Algebra: Transpose of a Vector

322 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

• 15:09

### Sums and Scalar Multiples of Linear Transformations

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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

• 14:19

### Vector Transformations

309 views / 0 likes - added

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

• 16:41

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

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

• 13:53

### Linear Transformations

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

• 12:21

### Compositions of Linear Transformations 1

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

• 09:52

### Distributive Property of Matrix Products

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Showing that matrix products exhibit the distributive property More free lessons at: http://www.khanacademy.org/video?v=oMWTMj78cwc

• 16:31

### Compositions of Linear Transformations 2

355 views / 0 likes - added

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

• 09:47

### Calculating dot and cross products with unit vector notation

270 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

• 25:34

### Linear Algebra: Vector Examples

270 views / 0 likes - added

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

• 08:37

### Linear Algebra: Transpose of a Matrix

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

• 06:22

### Linear Algebra: Example of Finding Matrix Inverse

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

• 13:04

### Linear Algebra: Subspace Projection Matrix Example

436 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

• 14:08

### Linear Algebra: Eigenvalues of a 3x3 matrix

359 views / 0 likes - added

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

• 17:55

### Linear Algebra: Change of Basis Matrix

379 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

• 05:39

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

385 views / 0 likes - added

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

• 15:34

### Linear Algebra: Eigenvectors and Eigenspaces for a 3x3 matrix

345 views / 0 likes - added

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

• 20:00

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

375 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

• 09:05

### Linear Alg: Projection is closest vector in subspace

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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

• 27:04

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

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

• 09:10

### Vector Dot Product and Vector Length

265 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

• 21:25

### Linear Algebra: Showing that Inverses are Linear

319 views / 0 likes - added

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

• 07:23

### Introduction To Transformations | Transformations | Geometry | Khan Academy

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Introduction to transformations Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/transformations/rigid-transformations-intro/e/performing-translations-on-the-coordinate-plane?utm_source=YT&utm_medium=De

• 18:53

### Linear Algebra: Vector Triangle Inequality

289 views / 0 likes - added

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

• 08:50

### Linear Algebra: Transpose of a Matrix Product

347 views / 0 likes - added

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

• 18:14

### Linear Algebra: Matrix Product Examples

356 views / 0 likes - added

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

• 15:46

### Linear Algebra: Introduction to Linear Independence

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

• 11:59

### Matrix Product Associativity

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Showing that matrix products are associative More free lessons at: http://www.khanacademy.org/video?v=Hhc96U_HvQE

• 10:46

### Proving Vector Dot Product Properties

330 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

• 21:36

### Lin Alg: Another Example of a Projection Matrix

346 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

• 11:35

### Null Space 3: Relation to Linear Independence

313 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

• 01:37

### Translation Example | Transformations | Geometry | Khan Academy

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• 01:25

### Using Rotation Widget | Transformations | Geometry | Khan Academy

319 views / 0 likes - added

Using rotation widget Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/transformations/rigid-transformations-intro/e/performing-rotations-on-the-coordinate-plane?utm_source=YT&utm_medium=Desc&utm_campai

• 05:59

### Combined Vector Operations Example

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Combined vector operations example

• 03:18

### Example Finding Components Of A Vector

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Example finding components of a vector

• 06:54

### Extracellular Matrix

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Overview of how cells relate to the extracellular matrix.

• 10:16

### Vector Components From Magnitude And Direction

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Vector components from magnitude and direction

• 06:42

### More Examples Finding Vector Angles

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More examples finding vector angles

• 03:38

### Example Calcuating Magnitude Of Vector From Graph

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Example calcuating magnitude of vector from graph

• 03:06

### Finding Vector Magnitude From Components

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Finding vector magnitude from components

• 05:37

### Figuring Out Vector Initial Point

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Figuring out vector initial point

• 01:48

### Using Reflection Tool | Transformations | Geometry | Khan Academy

429 views / 0 likes - added

Using reflection tool Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/transformations/rigid-transformations-intro/e/performing-reflections-on-the-coordinate-plane?utm_source=YT&utm_medium=Desc&utm_camp

• 05:49

### Example Of Vector Magnitude From Initial And Terminal Points

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Example of vector magnitude from initial and terminal points

• 06:21

### Vector Components From Initial And Terminal Points

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Vector components from initial and terminal points

• 21:38

### Linear Algebra: Determinant and area of a parallelogram

454 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

• 09:54

### Unit Vector Notation

238 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

• 14:15

### Inverse Matrix (part 1)

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Taking the inverse of a 2x2 matrix More free lessons at: http://www.khanacademy.org/video?v=iUQR0enP7RQ

• 10:40

### Column Space of a Matrix

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Introduction to the column space of a matrix More free lessons at: http://www.khanacademy.org/video?v=st6D5OdFV9M

• 09:58

### Normal vector from plane equation

334 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

• 10:42

### More on Matrix Addition and Scalar Multiplication

343 views / 0 likes - added

More on Matrix Addition and Scalar Multiplication More free lessons at: http://www.khanacademy.org/video?v=Z19-ObbmHJE

• 12:18

### Lorentz Transformations | Special Relativity Ch. 3

147 views / 0 likes - added

Go to http://brilliant.org/MinutePhysics for 20% off a premium subscription to Brilliant! Mark Rober's youtube channel: https://www.youtube.com/markrober The previous videos in this series: Chapter 1: Why Relativity is Hard https://www.youtube.com/watch?v

• 10:23

### Introduction to the Null Space of a Matrix

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

• 01:32

### Formal Translation Tool Example | Transformations | Geometry | Khan Academy

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Formal translation tool example Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/transformations/hs-geo-translations/e/defining-translations?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the

• 14:20

### Matrices to solve a vector combination problem

272 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

• 13:20

### Lin Alg: Alternate Basis Tranformation Matrix Example

453 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

• 13:34

### Lin Alg: Invertible Change of Basis Matrix

343 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

378 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

• 13:53

### Defining a plane in R3 with a point and normal vector

377 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

• 09:13

### Unit Vector Notation (part 2)

286 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

• 08:13

### Points After Rotation | Transformations | Geometry | Khan Academy

350 views / 1 likes - added

Points after rotation Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/transformations/hs-geo-rotations/e/rotations-1?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://w

• 06:35

### AMAZING~Once in a Lifetime AMMONITES & MATRIX FOUND..!!

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Arrowhead Hunting Mississippi....Two once in a lifetime.,65 million year old Ammonites and matrix found prospecting a new creek for Arrowheads...This beast measures 16 inches in diameter and weighs 36 lbs....Thanks for watching

• 02:46

### Defining Rotation Example | Transformations | Geometry | Khan Academy

356 views / 0 likes - added

Defining rotation example Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/transformations/hs-geo-rotations/e/defining-rotations?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson

• 01:55

### Drawing Image Of Translation | Transformations | Geometry | Khan Academy

374 views / 0 likes - added

• 10:32

### Rotating About Arbitrary Point | Transformations | Geometry | Khan Academy

346 views / 0 likes - added

Rotating about arbitrary point Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/transformations/hs-geo-rotations/e/rotations-2?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson:

• 07:19

### Reflecting Segments Over Line | Transformations | Geometry | Khan Academy

318 views / 0 likes - added

Reflecting segments over line Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/transformations/hs-geo-reflections/e/reflections-1?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesso

• 05:41

### Points On Line Of Reflection | Transformations | Geometry | Khan Academy

339 views / 0 likes - added

Points on line of reflection Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/transformations/hs-geo-reflections/e/defining-reflections?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next

• 29:00

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

480 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

• 12:36

### Lin Alg: Alternate Basis Tranformation Matrix Example Part 2

353 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

• 02:34

### U08_L2_T4_we3 Special Products of Polynomials 3

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U08_L2_T4_we3 Special Products of Polynomials 3

• 10:09

### Factoring Special Products

339 views / 0 likes - added

Factoring Special Products More free lessons at: http://www.khanacademy.org/video?v=BI_jmI4xRus

• 10:36

### Special Products of Binomials

224 views / 0 likes - added

Special Products of Binomials More free lessons at: http://www.khanacademy.org/video?v=bFtjG45-Udk

• 04:41

### What is a vector? - David Huynh

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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

• 03:00

### Ben 10 | Top Alien Transformations

374 views / 0 likes - added

Ben's alien transformations are always cool. Leave a comment of your fave alien below! --- Subscribe for more Cartoon Network fun! https://www.youtube.com/channel/UCW5xCqirsmdKqYWYMj-pVUw Watch more videos on the go, get the Cartoon Network’s Watch And Pl

• 14:01

### Exponent Properties Involving Products

365 views / 0 likes - added

Exponent Properties Involving Products More free lessons at: http://www.khanacademy.org/video?v=zM_p7tfWvLU

• 02:28

### Drawing Line Of Reflection | Transformations | Geometry | Khan Academy

375 views / 0 likes - added

Drawing line of reflection Watch the next lesson: https://www.khanacademy.org/math/geometry/transformations/hs-geo-reflections/v/determining-the-line-of-reflection?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www

• 03:19

### Special Products of Polynomials 1

263 views / 0 likes - added

U08_L2_T4_we1 Special Products of Polynomials 1 More free lessons at: http://www.khanacademy.org/video?v=4GcNzvILqtM Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education

• 05:12

### Special Products of Polynomials 2

249 views / 0 likes - added

U08_L2_T4_we2 Special Products of Polynomials 2 More free lessons at: http://www.khanacademy.org/video?v=4fQeHtSdw80 Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education

• 02:30

### Special Polynomials Products 1

288 views / 0 likes - added

u11_l2_t4_we1 Special Polynomials Products 1 More free lessons at: http://www.khanacademy.org/video?v=h6HmHjkA034 Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education

• 02:25

### Factoring Special Products 2

284 views / 0 likes - added

U09_L2_T1_we2 Factoring Special Products 2 More free lessons at: http://www.khanacademy.org/video?v=o-ZbdYVGehI Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education

• 03:53

### U09_L2_T1_we1 Factoring Special Products 1

279 views / 0 likes - added

U09_L2_T1_we1 Factoring Special Products 1 More free lessons at: http://www.khanacademy.org/video?v=XuwldEyWjH0 Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education

• 02:30

### U09_L2_T1_we3 Factoring Special Products 3

234 views / 0 likes - added

U09_L2_T1_we3 Factoring Special Products 3 More free lessons at: http://www.khanacademy.org/video?v=YahJQvY396o Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education

• 08:52

### Linear Models Example 1 | Algebra I | Khan Academy

342 views / 0 likes - added

• 08:23

### Constructing Linear Functions Example 2 | Algebra I | Khan Academy

245 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

340 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

308 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

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Using a Linear Model

• 11:46

### Predicting with Linear Models

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Predicting with Linear Models

• 08:52

### Systems of Linear Inequalities

287 views / 0 likes - added

Systems of Linear Inequalities

• 05:30

### Graphing Linear Functions Example 1 | Algebra I | Khan Academy

274 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

333 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

268 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

• 08:15

### Linear, Quadratic, and Exponential Models

431 views / 0 likes - added

• 04:59

### Interpreting Visual Linear Inequality

232 views / 0 likes - added

Interpreting visual linear inequality

• 03:42

### Understanding Linear Inequality With Two Variables

232 views / 0 likes - added

Understanding linear inequality with two variables

• 02:22

### Setting Up A Linear Inequality In Two Variables

231 views / 0 likes - added

Setting up a linear inequality in two variables

• 08:07

### Standard Form For Linear Equations

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Standard form for linear equations

• 04:20

### Analyzing Two Variable Linear Inequality

379 views / 0 likes - added

Analyzing two variable linear inequality

• 08:02

### 3-variable linear equations (part 1)

321 views / 0 likes - added

Visual intuition of a 3-variable linear equation.

• 02:35

### Interpreting Linear Formulas Example 2 | Algebra I | Khan Academy

259 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

• 03:08

### How Pet Products are Tested for Safety

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The Center for Pet Safety does crash tests for pet products. They test travel crates, harnesses, and carriers for pets to prevent serious injuries during car crashes. See more from The Center for Pet Safety: http://www.centerforpetsafety.org/ https://www.

• 07:11

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

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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

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Constraining solutions to two variable linear inequalities

• 07:25

### Domain And Range For Piecewise Linear Function

427 views / 0 likes - added

Domain and range for piecewise linear function

• 10:01

### Linear Algebra: 3x3 Determinant

360 views / 0 likes - added

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

• 23:29

### Linear Subspaces

233 views / 0 likes - added

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

• 14:10

### Linear Algebra: Determinant of Transpose

365 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

• 08:07

### Linear Algebra: Upper Triangular Determinant

368 views / 0 likes - added

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

• 08:19

### Linear Algebra: Duplicate Row Determinant

388 views / 0 likes - added

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

• 17:38

### More on linear independence

264 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

208 views / 0 likes - added

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

• 14:34

### Linear Algebra: Finding Eigenvectors and Eigenspaces example

397 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

• 02:42

### Basic Linear Function

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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

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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)

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U05_L2_T1_we2 : Graphing linear inequalities in two variables

• 18:20

### Linear Algebra: Formula for 2x2 inverse

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

• 06:37

### Linear Algebra: Simplifying conditions for invertibility

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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

• 20:10

### Linear Algebra: Determinant as Scaling Factor

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

• 20:35

### Linear Combinations and Span

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

• 08:30

### Solving Linear Systems by Graphing

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

• 09:21

### Solving Linear Systems by Substitution

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

• 15:18 Popular

### Special Types of Linear Systems

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

• 10:09

### Linear Equations in Standard Form

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

• 06:45

### Algebra: Linear Equations 3

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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

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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

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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

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

• 16:55

### Linear Algebra: Determinant when row is added

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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

• 24:47

### Linear Algebra: Parametric Representations of Lines

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

• 16:16

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

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

• 11:59

### Generalized Linear Consumption Function

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

• 09:45

### 2nd Order Linear Homogeneous Differential Equations 1

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

• 05:45

### Non-Linear Systems of Equations 1

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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

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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

• 06:57

### Non-Linear Systems of Equations 3

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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

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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

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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

• 13:08

### Null Space 2: Calculating the null space of a matrix

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Calculating the null space of a matrix More free lessons at: http://www.khanacademy.org/video?v=qvyboGryeA8

• 03:20

### Graphing linear inequalities in two variables 3

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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

• 03:03

### Graphing Linear Inequalities in Two Variables Example 2

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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

• 07:08

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

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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

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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

• 05:48

### Price of Related Products and Demand

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How changes in the price of related goods can shift demand More free lessons at: http://www.khanacademy.org/video?v=-oClpRv7msg

• 06:30

### The Invention Nobody Wanted That Became One of the Top Selling Office Products of All Time

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→Subscribe for new videos every day! https://www.youtube.com/user/TodayIFoundOut?sub_confirmation=1 →How "Dick" came to be short for 'Richard': https://youtu.be/BH1NAwwKtcg?list=PLR0XuDegDqP2Acy6g9Ta7hzC0Rr3RDS6q Never run out of things to say at the wate

• 07:34

### Vector Forces

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Easy to understand 3D animations explaining force vectors.

• 14:25

### Vector Triple Product Expansion (very optional)

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

• 13:41

### Matrix multiplication (part 1)

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Multiplying two 2x2 matrices.

• 14:37

### Matrix multiplication (part 2)

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More on multiplying matrices.

• 03:38

### The Amazing World of Gumball | Gumballs Weirdest Transformations | Cartoon Network

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What are your favourite weird and wonderful things that Gumball has transformed into? Subscribe to the Cartoon Network UK YouTube channel: https://goo.gl/hRAVDf Visit the Cartoon Network UK website: http://www.cartoonnetwork.co.uk Check out all the amazin

• 04:51

### Ben 10 | Slapback, Humungosaur and Rath Transformations | Cartoon Network

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Ben transforms into Slapback, Humungosaur and Rath for the very first time! Subscribe to the Cartoon Network UK YouTube channel: https://goo.gl/hRAVDf Visit the Cartoon Network UK website: http://www.cartoonnetwork.co.uk Check out all the amazing apps fro

• 04:54

### Biggest Hero Transformations | Ben 10 | OK K.O.! | Adventure Time | Cartoon Network

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Check out all the heroes new looks in this triple play compilation! Subscribe to the Cartoon Network UK YouTube channel: https://goo.gl/hRAVDf Visit the Cartoon Network UK website: http://www.cartoonnetwork.co.uk Check out all the amazing apps from Cartoo

• 02:58

### The Powerpuff Girls | Escaping the Coding Matrix | Cartoon Network

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Subscribe to the Cartoon Network UK YouTube channel: https://goo.gl/hRAVDf Visit the Cartoon Network UK website: http://www.cartoonnetwork.co.uk Check out all the amazing apps from Cartoon Network: http://apps.cartoonnetwork.co.uk Welcome to the official

• 02:38

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

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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

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• 04:50

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

318 views / 0 likes - added

• 05:18

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

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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

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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

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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

• 13:25

### Linear Algebra: Another Least Squares Example

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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

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

• 06:07

### Algebra: Linear Equations 2

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

• 13:10

### Graphs of Linear Equations

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• 16:53

### Span and Linear Independence Example

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

• 19:00

### Linear Algebra: Basis of a Subspace

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

• 15:32

### Linear Algebra: Least Squares Approximation

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

• 18:50

### Linear Algebra: Least Squares Examples

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

• 18:40

### Linear Algebra: nxn Determinant

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

• 22:08

### Linear Algebra: Orthogonal Complements

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

• 17:26

### Linear Algebra: Projections onto Subspaces

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

• 09:28

### Linear Alg: Visualizing a projection onto a plane

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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

• 09:13

### Linear Algebra: Simpler 4x4 determinant

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

• 19:24

### Linear Algebra: The Gram-Schmidt Process

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

• 13:14

### Linear Algebra: Gram-Schmidt Process Example

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

• 15:47

### Linear Algebra: Cross Product Introduction

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

• 15:13

### Linear Transformation Examples: Scaling and Reflections

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

• 07:43

### Linear Algebra: Introduction to Eigenvalues and Eigenvectors

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

• 08:41

### Linear Algebra: Transposes of sums and inverses

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

• 16:08

### Linear Algebra: Coordinates with Respect to a Basis

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

• 13:24

### Basic Linear Functions - Math Antics

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• 09:03

### Linear Algebra: Determinants along other rows/cols

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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

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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

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

• 19:38

### Linear Alg: Rowspace Solution to Ax=b example

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

• 18:54

### Linear Algebra: Introduction to the inverse of a function

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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

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

• 11:16

### Linear Algebra: Introduction to Orthonormal Bases

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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

• 16:34

### Linear Algebra: Exploring the solution set of Ax=b

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

• 15:28

### Linear Algebra: Coordinates with respect to orthonormal bases

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

• 18:00

### Linear Algebra: Deriving a method for determining inverses

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

• 13:57

### Linear Algebra: Gram-Schmidt example with 3 basis vectors

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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

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

• 08:28

### 2nd Order Linear Homogeneous Differential Equations 2

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

• 13:20

### Linear Algebra: Determinant when row multiplied by scalar

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

• 05:59

### 2nd Order Linear Homogeneous Differential Equations 3

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

• 02:52

### Linear Algebra: (correction) scalar muliplication of row

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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

• 09:11

### 2nd Order Linear Homogeneous Differential Equations 4

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

• 13:09

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

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

• 17:43

### Matrices: Reduced Row Echelon Form 1

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Solving a system of linear equations by putting an augmented matrix into reduced row echelon form More free lessons at: http://www.khanacademy.org/video?v=L0CmbneYETs

• 07:37

### Matrices: Reduced Row Echelon Form 2

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Another example of solving a system of linear equations by putting an augmented matrix into reduced row echelon form More free lessons at: http://www.khanacademy.org/video?v=lP1DGtZ8Wys

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