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• 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

• 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

• 06:22

### Linear Algebra: Example of Finding Matrix Inverse

322 views / 0 likes - added

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

• 07:18

### Origins Of Algebra | Introduction To Algebra | Algebra I | Khan Academy

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Where did the word "Algebra" and its underlying ideas come from? Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-algebra/overview_hist_alg/v/abstract-ness?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Kha

• 07:00

### Abstract-ness | Introduction To Algebra | Algebra I | Khan Academy

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The general idea behind the word 'abstract' Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-algebra/overview_hist_alg/v/the-beauty-of-algebra?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? h

• 06:55

### What Are Variables, Expressions, And Equations? | Introduction To Algebra | Algebra I | Khan Academy

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Learn what variables, expressions, and equations really are. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-algebra/feel-for-equations-and-inequalit/e/dependent-and-independent-variable

• 18:20

### Linear Algebra: Formula for 2x2 inverse

334 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

• 02:36

### How To Interpret An Expression With Function Notation | Functions | Algebra I | Khan Academy

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Sal interprets the expression P(5) minor P(9) where P models the number of people at the beach over time. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/algebra-functions/interpreting-function-notation

• 21:25

### Linear Algebra: Showing that Inverses are Linear

307 views / 0 likes - added

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

• 15:47

### Linear Algebra: Cross Product Introduction

256 views / 0 likes - added

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

• 03:24

### How To Interpret An Expression With Function Notation | Functions | Algebra I | Khan Academy

249 views / 0 likes - added

Sal interprets the expression M(30)-M(0)=100 where M models an account balance over time. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/algebra-functions/interpreting-function-notation/e/function-nota

• 01:07

### How To Match Function Input To Output Given The Graph (example) | Algebra I | Khan Academy

255 views / 0 likes - added

Sal finds the input value for which g(x)=-2 given the graph of g. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/algebra-functions/function-inputs-and-outputs/e/functions_matching_inputs_outputs?utm_so

• 11:59

### Generalized Linear Consumption Function

193 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

• 03:04

### How To Create A Function From An Equation (example) | Functions | Algebra I | Khan Academy

244 views / 0 likes - added

Sal find the formula of a function that, given an input value "b," outputs a value "a" that satisfies the equation 4a+7b=-52. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/algebra-functions/functions-

• 01:40

### How To Match Function Input To Output Given The Formula (example) | Algebra I | Khan Academy

230 views / 0 likes - added

Sal finds the input value for which f(t)=13, given that f(t)=-2t+5. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/algebra-functions/function-inputs-and-outputs/e/functions_matching_inputs_outputs?utm_

• 05:30

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

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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-

• 05:37

### Linear Models Example 2 | Algebra I | Khan Academy

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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

• 07:25

### Domain And Range For Piecewise Linear Function

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Domain and range for piecewise linear function

• 11:49

### Linear Function Graphs

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

• 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

• 06:39

### Introduction To Range Of A Function

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Introduction to range of a function

• 08:21

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

236 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

• 07:11

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

319 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

• 03:00

### Inverse Property Of Addition | Arithmetic Properties | Pre-Algebra | Khan Academy

357 views / 0 likes - added

The simple idea that a number plus its negative is 0 Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/order-of-operations/arithmetic_properties/v/inverse-property-of-multiplication?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra M

• 08:52

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

312 views / 0 likes - added

• 08:23

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

219 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

• 02:19

### How To Determine The Domain Of A Modeling Function (example With A Function) | Khan Academy

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Sal determines the domain of a function that models the height of a plant over time. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/algebra-functions/determining-the-domain-of-a-function/e/interpreting

• 06:35

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

312 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

294 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

• 02:40

### Interpreting Linear Formulas Example 1 | Algebra I | Khan Academy

296 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

• 19:53

### Linear Algebra - Matrix Transformations

116 views / 0 likes - added

Matrix multiplication and linear algebra explained with 3D animations.

• 02:35

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

245 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

• 07:43

### 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

• 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

• 24:47

### Linear Algebra: Parametric Representations of Lines

258 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

• 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

• 20:48

### Introduction To Scientific Notation | Pre-Algebra | Khan Academy

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Introduction to scientific notation. An in-depth discussion about why and how scientific notation is used. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/scientific-notation/e/sc

• 18:00

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

335 views / 0 likes - added

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

• 06:45

### Algebra: Linear Equations 3

184 views / 0 likes - added

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

• 03:03

### Introduction To Exponents | Pre-Algebra | Khan Academy

297 views / 0 likes - added

Taking an exponent is basically the act of repeated multiplication. You know how to multiply, right? If so, understanding exponents is completely within your grasp! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/ma

• 03:21

### Introduction To Perimeter | Measurement | Pre-Algebra | Khan Academy

246 views / 0 likes - added

Find perimeter by adding side-lengths of various figures. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/measurement/perimeter/e/perimeter_1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Wa

• 10:00

### Introduction To Number Systems And Binary | Pre-Algebra | Khan Academy

256 views / 0 likes - added

• 01:49

### How To Find Two Function Inputs With The Same Output Given Graph (example) | Khan Academy

284 views / 0 likes - added

Sal finds the input value other than -5 for which f(x)=f(-5), given the graph of f. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/algebra-functions/function-inputs-and-outputs/e/functions_matching_inp

• 04:17

### Introduction To Area And Unit Squares | Measurement | Pre-Algebra | Khan Academy

261 views / 0 likes - added

Cover figures with square units to find their area. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/measurement/area-basics/e/measuring-area-with-unit-squares?utm_source=YT&utm_medium=Desc&utm_campa

• 03:50

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

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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

• 14:13

### Introduction To Ratios | Ratios, Proportions, Units, And Rates | Pre-Algebra | Khan Academy

389 views / 0 likes - added

What a ratio is. Simple ratio problems. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/ratios_and_proportions/e/ratio_word_problems?utm_source=YT&utm_medium=Desc&utm_campaign=PreAl

• 06:19

### Understanding Inverse Functions

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Understanding inverse functions

• 09:36

### Negative Numbers Introduction | Negative Numbers And Absolute Value | Pre-Algebra | Khan Academy

295 views / 0 likes - added

Mysterious negative numbers! What ARE they? They are numbers less than zero. If you understand the nature of below zero temperatures, you can understand negative numbers. We'll help. Practice this lesson yourself on KhanAcademy.org right now: https://www.

• 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

• 19:15

### Inverse Laplace Examples

244 views / 0 likes - added

Using our toolkit to take some inverse Laplace Transforms More free lessons at: http://www.khanacademy.org/video?v=BbqbvSig6Mc

• 06:45

### Domain Of A Function

358 views / 0 likes - added

Introduction to domain of a function.

• 05:02

### Positive And Negative Slope | Algebra I | Khan Academy

313 views / 0 likes - added

Positive and negative slope Watch the next lesson: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/slope/v/similar-triangles-to-prove-that-the-slope-is-constant-for-a-line?utm_source=YT&utm_medium=Desc&utm_campaign

• 12:07

### Algebra Basics: What Is Algebra? - Math Antics

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The first video in the Algebra Basics Series: https://www.youtube.com/watch?v=NybHckSEQBI&list=PLUPEBWbAHUszT_GebJK23JHdd_Bss1N-G Next video: https://youtu.be/l3XzepN03KQ This video gives an overview of Algebra and introduces the concepts of unknown value

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• 04:42

### Inverse Variation Application

226 views / 0 likes - added

u15_l3_t1_we5 Inverse Variation Application More free lessons at: http://www.khanacademy.org/video?v=lkP-E2LUnjA Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education

• 05:31

### Direct Inverse and Joint Variation

240 views / 0 likes - added

u15_l3_t1_we2 Direct Inverse and Joint Variation More free lessons at: http://www.khanacademy.org/video?v=v-k5L0BPOmc Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education

• 13:25

### Linear Algebra: Another Least Squares Example

348 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

205 views / 0 likes - added

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

• 06:07

### Algebra: Linear Equations 2

197 views / 0 likes - added

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

• 17:48

### Dirac Delta Function

239 views / 0 likes - added

Introduction to the Dirac Delta Function More free lessons at: http://www.khanacademy.org/video?v=4qfdCwys2ew

• 22:08

### Linear Algebra: Orthogonal Complements

347 views / 0 likes - added

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

• 17:26

### Linear Algebra: Projections onto Subspaces

368 views / 0 likes - added

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

• 25:34

### Linear Algebra: Vector Examples

256 views / 0 likes - added

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

• 15:32

### Linear Algebra: Least Squares Approximation

351 views / 0 likes - added

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

• 08:37

### Linear Algebra: Transpose of a Matrix

326 views / 0 likes - added

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

• 18:50

### Linear Algebra: Least Squares Examples

338 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

• 14:10

### Linear Algebra: Determinant of Transpose

350 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

344 views / 0 likes - added

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

• 18:40

### Linear Algebra: nxn Determinant

330 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

• 12:07

### Linear Algebra: Transpose of a Vector

310 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

• 19:00

### Linear Algebra: Basis of a Subspace

285 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

• 18:53

### Linear Algebra: Vector Triangle Inequality

274 views / 0 likes - added

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

• 07:18

### Linear Algebra: Rule of Sarrus of Determinants

348 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

• 19:24

### Linear Algebra: The Gram-Schmidt Process

336 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

• 13:14

### Linear Algebra: Gram-Schmidt Process Example

344 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

• 18:14

### Linear Algebra: Matrix Product Examples

339 views / 0 likes - added

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

• 16:55

### Linear Algebra: Determinant when row is added

335 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

• 08:19

### Linear Algebra: Duplicate Row Determinant

373 views / 0 likes - added

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

• 10:25

### Linear Algebra: Determinant after row operations

325 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

357 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

384 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

362 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

355 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

• 13:04

### Linear Algebra: Subspace Projection Matrix Example

422 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

349 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

310 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

438 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

376 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

• 08:50

### Linear Algebra: Transpose of a Matrix Product

325 views / 0 likes - added

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

• 16:08

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

341 views / 0 likes - added

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

• 08:41

### Linear Algebra: Transposes of sums and inverses

328 views / 0 likes - added

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

• 17:55

### Linear Algebra: Change of Basis Matrix

361 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

• 09:03

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

329 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

341 views / 0 likes - added

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

• 02:35

### Checking Ordered Pair Solutions To Equations Example 1 | Algebra I | Khan Academy

303 views / 0 likes - added

Checking ordered pair solutions to 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/plugging_in_values?ut

• 02:27

### Checking Ordered Pair Solutions To Equations Example 2 | Algebra I | Khan Academy

252 views / 0 likes - added

Second example of ordered pair solutions 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/plugging_in_values?utm_so

• 24:16

### Laplace Transform of the Unit Step Function

353 views / 0 likes - added

Introduction to the unit step function and its Laplace Transform More free lessons at: http://www.khanacademy.org/video?v=4Mr7aEHQr8E

• 13:20

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

330 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

409 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

379 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

371 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

374 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

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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

• 15:34

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

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

• 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

• 13:53

### Linear Transformations

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

• 23:29

### Linear Subspaces

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

• 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

• 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

• 05:09

### Converting From Slope-intercept To Standard Form | Algebra I | Khan Academy

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Converting from slope-intercept to standard form Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/standard-form/e/converting_between_slope_intercept_and_st

• 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

• 02:34

### Converting From Standard Form To Slope-intercept Form | Algebra I | Khan Academy

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Standard form to slope-intercept form Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/standard-form/e/slope-from-an-equation-in-standard-form?utm_source=Y

• 07:25

### Consumption Function with Income Dependent Taxes

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Thinking about a consumption function where taxes are also a function of income (which is more realistic than constant taxes) More free lessons at: http://www.khanacademy.org/video?v=wHPGFPIcILM

• 08:38

### The Inverse Leidenfrost Effect

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Droplets levitate on a bath of liquid nitrogen and are spontaneously self-propelled. Thanks Audible! Start a 30-day trial and your first audiobook is free. Go to https://audible.com/VERITASIUM or text VERITASIUM to 500500. Special thanks to Dr. Anaïs Gaut

• 09:27

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

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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

• 12:14

### Algebra Basics: Exponents In Algebra - Math Antics

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Part of the Algebra Basics Series: https://www.youtube.com/watch?v=NybHckSEQBI&list=PLUPEBWbAHUszT_GebJK23JHdd_Bss1N-G Previous video: https://youtu.be/K6ewhnaL4KQ This video shows how exponents can be used more generally with variables. It explains why x

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• 11:14

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

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

• 07:51

### Volume: How To Measure It | Measurement | Pre-Algebra | Khan Academy

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Volume is a measurement in the 3rd dimension. This means that it not only has width and height, but it has depth as well. Let's watch this video in which we get a great explanation of how we measure volume. Practice this lesson yourself on KhanAcademy.org

• 02:15

### Inverse Operations Song: Online Education Music Videos

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Worksheets, Cloze, Quiz, and more at Teachers Pay Teachers[http://goo.gl/cfW2G8] TES[http://goo.gl/jXgRhd] "You don't have to be a STRAIGHT-A student to be an A+ Human!" Subscribe to our YouTube channel!: http://goo.gl/3H3bJ6 Addition and Subtraction. Mul

• 03:49

### Piecewise Function Example

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Piecewise function example

• 10:06

### Defining a Factorial Function

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Defining a function in Python

• 02:18

### Understanding Function Inverses Example

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Understanding function inverses example

• 04:30

### Graphing Piecewise Function

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Graphing piecewise function

• 09:12

### Diagramming What Happens with a Function Call

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Variable scope and function calls

• 06:03

193 views / 0 likes - added

• 06:33

### Iterative Fibonacci Function Example

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One way to write a Fibonacci function iteratively

• 06:25

### Change In Continuous Function Approaches 0

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Change in continuous function approaches 0

• 07:14

### Examples Of Finding The Domain Of A Function

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Examples of finding the domain of a function

• 05:36

### Recursive Factorial Function

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Introduction to recursion.

• 09:39

### Stepping Through Iterative Fibonacci Function

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Understanding how the iterative fibonacci function works for a particular example

• 08:04

### Stepping Through Recursive Fibonacci Function

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Understanding why and how the recursive Fibonacci function works

• 02:49

### Simpler Insertion Sort Function

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Simplifying the while loop for the Insertion Sort function

• 02:12

### Exercise - Write a Sorting Function

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Challenge to write a Python function that can sort a list in-place

• 08:08

### Restricting Domain Of Function To Make Invertible

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Restricting domain of function to make invertible

• 02:34

### Domain Of Function Modeling Candy Bars

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Domain of function modeling candy bars

• 06:17

### Explicitly Defining Function For Arithmetic Sequence

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Explicitly defining function for arithmetic sequence

• 04:33 Popular

### Average Rate Of Change With Function Notation

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Average rate of change with function notation

• 03:40

### Average Rate Of Change For Function From Table

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Average rate of change for function from table

• 03:55

### Interpreting Function Graphs Word Problems

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Interpreting function graphs word problems

• 02:44

### Domain And Range For Piecewise Constant Function

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Domain and Range for piecewise constant function

• 03:36

### Approximating Irrational Number Exercise Example | Pre-Algebra | Khan Academy

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Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/order-of-operations/rational-irrational-numbers/e/approximating-irrational-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the nex

• 08:20

### Another Rational Function Graph Example

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Another Rational Function Graph Example More free lessons at: http://www.khanacademy.org/video?v=ReEMqdZEEX0

• 11:31

### A Third Example of Graphing a Rational Function

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A Third Example of Graphing a Rational Function More free lessons at: http://www.khanacademy.org/video?v=p7ycTWq6BFk

• 04:15

### Exercise - Write a Fibonacci Function

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Introduction to the Fibonacci Sequence and a programming challenge

• 06:39

### Consumption Function Basics

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The basic idea of a consumption function More free lessons at: http://www.khanacademy.org/video?v=o5iot_ZsoV0

• 12:14

### Using a Linear Model

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Using a Linear Model

• 05:56

### Intervals When Function Is Increasing, Decreasing, Postive Or Negative

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Intervals when function is increasing, decreasing, postive or negative

• 07:34

### Hexadecimal Number System | Applying Mathematical Reasoning | Pre-Algebra | Khan Academy

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• 11:46

### Predicting with Linear Models

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Predicting with Linear Models

• 08:52

### Systems of Linear Inequalities

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Systems of Linear Inequalities

• 06:08

### Converting Between Explicit And Recursive Function Definitions For Arithmetic Sequence

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Converting between explicit and recursive function definitions for arithmetic sequence

• 09:43

### Exponent Rules Part 1 | Exponents, Radicals, And Scientific Notation | Pre-Algebra | Khan Academy

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• 09:29

### IIT JEE Function Maxima

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2010 IIT JEE Paper 1 problem 36 Function Maxima More free lessons at: http://www.khanacademy.org/video?v=2E_DB5VuAoo

• 12:13

### Laplace Transform of the Dirac Delta Function

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Figuring out the Laplace Transform of the Dirac Delta Function More free lessons at: http://www.khanacademy.org/video?v=vhfjEpQWWeE

• 04:59

### Interpreting Visual Linear Inequality

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Interpreting visual linear inequality

• 08:07

### Standard Form For Linear Equations

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Standard form for linear equations

• 03:42

### Understanding Linear Inequality With Two Variables

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Understanding linear inequality with two variables

• 08:15

### Linear, Quadratic, and Exponential Models

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• 02:22

### Setting Up A Linear Inequality In Two Variables

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Setting up a linear inequality in two variables

• 04:20

### Analyzing Two Variable Linear Inequality

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Analyzing two variable linear inequality

• 08:02

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

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Visual intuition of a 3-variable linear equation.

• 19:12

### Laplace/Step Function Differential Equation

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Hairy differential equation involving a step function that we use the Laplace Transform to solve. More free lessons at: http://www.khanacademy.org/video?v=R0JY8oWsuOY

• 05:36

### Graphing a Basic Function

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u17_l2_t2_we1 Graphing a Basic Function More free lessons at: http://www.khanacademy.org/video?v=2-dUHLHeyTY Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education

• 02:23

### Testing if a relationship is a function

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U03_L2_T1_we2 : Testing if a relationship is a function More free lessons at: http://www.khanacademy.org/video?v=3SO1BQQ9_1E Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education

• 01:47

### Domain of a Radical Function

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u17_l2_t3_we2 Domain of a Radical Function More free lessons at: http://www.khanacademy.org/video?v=4h54s7BBPpA Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education

• 04:12

### Constraining Solutions To Two Variable Linear Inequalities

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Constraining solutions to two variable linear inequalities

• 17:38

### More on linear independence

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

• 09:58

### Deriving Displacement as a Function of Time, Acceleration and Initial Velocity

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Deriving displacement as a function of time, constant acceleration and initial velocity More free lessons at: http://www.khanacademy.org/video?v=wlB0x9W-qBU

• 08:07

### Domain and Range of a Function Given a Formula

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u17_l2_t3_we1 Domain and Range of a Function Given a Formula More free lessons at: http://www.khanacademy.org/video?v=za0QJRZ-yQ4 Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education

• 09:13

### Graphing Natural Logarithm Function

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u18_l3_t1_we2 Graphing Natural Logarithm Function More free lessons at: http://www.khanacademy.org/video?v=xmjy-0TxgI8 Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education

• 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

• 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

• 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

• 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

• 11:23

### Quantum Wave Function Visualization

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Superposition, wave function collapse, and uncertainty principle in Quantum Physics. Shows real & imaginary components of quantum wave functions for free particles and confined particles. My Patreon page is at https://www.patreon.com/EugeneK

• 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

• 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

• 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

• 17:52

### 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

• 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

• 17:32

### Linear Transformations as Matrix Vector Products

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

• 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

• 07:27

### Introduction To Entropy

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Introduction to entropy

• 06:33

### Introduction To Intercepts

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Introduction to intercepts

• 06:56

### Introduction To Slope

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Introduction to slope

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• 05:30

### Introduction To Rates

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Introduction to rates

• 06:18

### Introduction To Combinations

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Introduction to combinations

• 05:26

### Factors And Divisibility In Algebra

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Factors and divisibility in algebra

• 10:29

### Algebra Basics: Solving 2-Step Equations - Math Antics

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There was a confusing example in the original video. This is the updated version. This video shows students how to solve 2-step Algebra equations involving one addition or subtraction and one multiplication or division. Part of the Algebra Basics Series:

• 11:35

### Null Space 3: Relation to Linear Independence

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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

• 06:17

### Solving Percent Problems | Decimals | Pre-Algebra | Khan Academy

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We'll use algebra to solve this percent problem. Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-word-probs-pre-alg/v/solving-percent-problems-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the

• 03:50

### Introduction To Proportional Relationships

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Introduction to proportional relationships

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### Introduction To Interval Notation

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Introduction to interval notation

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### Focus And Directrix Introduction

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Focus and directrix introduction

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### Introduction To Definition Of PH

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Introduction to definition of pH

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### Introduction To Line Plots

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Introduction to line plots

• 05:27

### Introduction To Regrouping (borrowing)

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Introduction to regrouping (borrowing)

• 08:01

### Introduction To Cube Roots

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Introduction to cube roots

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• 08:21

### Introduction To The Lorentz Transformation

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Introduction to the Lorentz transformation

• 05:24

### Introduction To Square Roots

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Introduction to square roots

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