|| MathTheBeautiful ||

000. MathTheBeautiful playlists

001. Part 1 Linear Algebra playlist | An In-Depth Introduction 149 videos

002. Part 2 Linear Algebra playlist | An In-Depth Course 28   videos

003. Part 3 Linear Algebra playlist | Linear Transformation 113 videos

004. part 4: Linear Algebra playlist | Inner products 43 videos

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Part 1 Linear Algebra videos 149 videos (short)

001.  A Complete In-Depth Linear Algebra Course with Problems and Exercises 11:47

002.  Preview: The Magic of Gaussian Quadrature - A Billion Times Better than the Next Best Thing 9:34

003. Linear Algebra 2a: J.S. Bach + M.L. King = Linear Algebra, or the Addition of Sounds  6:23

004.  Linear Algebra 2b: Decomposition - It's no Time to Nickel and Dime! 3:01

005.  Linear Algebra 2c: The Three Fundamental Examples of Vectors 13:26

006.  Linear Algebra 2d: Addition of Geometric Vectors 12:44

007.  Linear Algebra 2e: Confirming All the 'Tivities 15:07

008.  Linear Algebra 2f: The Origin in the Plane and the Parallelogram Rule 6:13

009.  Linear Algebra 2g: Subtraction of Geometric Vectors 6:14

010.  Linear Algebra 2ga: Subtraction is Often Easier than Addition! 2:59

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011.  Linear Algebra 2h: What Else Works like Geometric Vectors? 16:54

012.  Linear Algebra 2i: Polynomials Are Vectors, Too! 12:10

013.  Linear Algebra 2ia: Is One Polynomial a Multiple of the Other? 1:49

014.  Linear Algebra 2j: Elements of ℝⁿ as Vectors - So Boring, yet so Important! 9:02

015.  Linear Algebra 2k: Linear Combinations - a New Term for an Old Concept 3:04

016.  Linear Algebra 2k1: Examples of Linear Combinations 9:17

017.  Linear Algebra 2L: The Zero Vector - Does Nothing, Yet so Important! 10:22

018.  Linear Algebra 2m: Span the Man 13:05

019.  Linear Algebra 2n: Spanning Sets 9:21

020.  Linear Algebra 2o1: Linear Subspaces of the Plane 8:03

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021.  Linear Algebra 2o2: Straight Talk - a Linear Combination Exercise 6:50

022.  Linear Algebra 2o3: Equation of a Straight Line - More Important than You'd Think! 6:38

023.  Linear Algebra 2p: A Passionate Appeal - Treat All Objects on Their Own Terms! 3:57

024.  Linear Algebra 2q: Summary of Terms Encountered so Far 4:18

025.  Linear Algebra: Chapters 1 - 4 Outtakes - as funny as your calculus professor 1:07

026.  Linear Algebra 3a: What is Linear Decomposition?  6:05

027.  Linear Algebra 3b1: Decomposition with Geometric Vectors 1 11:28

028.  Linear Algebra 3b2: Decomposition with Geometric Vectors 2 9:28

029.  Linear Algebra 3b3: Decomposition with Geometric Vectors 3  5:16

030.  Linear Algebra 3b4: Decomposition with Respect to Arbitrary Geometric Vectors, Affine Grid 13:28

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031.  Linear Algebra 3c1: Decomposition with Polynomials 1  5:29

032.  Linear Algebra 3c2: Decomposition with Polynomials 2 11:05

033.  Linear Algebra 3d1: Decomposition in ℝⁿ 1 5:03

034.  Linear Algebra 3d2: Decomposition in ℝⁿ, 2  6:16

035.  Linear Algebra 3d3: Decomposition in ℝⁿ, 3  6:52

036.  Linear Algebra 3e: Linear Systems Are a Decomposition Problem  9:06

037.  Linear Algebra 4a: Impossible Decomposition with Geometric Vectors 7:12

038.  Linear Algebra 4b: Impossible Decomposition with Polynomials 9:49

039.  Linear Algebra 4c: Impossible Decomposition in ℝⁿ 8:56

040.  Linear Algebra 4d: What is a Linear Property and Why It's Synonymous with Subspace 10:59

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041.  Linear Algebra 4d1: A Property Irrelevant in Decomposition Problems 2:56

042.  Linear Algebra 4e: Linear Subspaces in ℝⁿ 11:59

043.  Linear Algebra 4f: Linear Subspaces of Polynomials 14:04

044.  Linear Algebra 4g: A Good Way to Express Linear Subspaces in ℝⁿ 10:04

045.  Linear Algebra 4h: Unions and Intersections of Linear Subspaces 17:18

046.  Linear Algebra 6a: Linear Independence 9:05

047.  Linear Algebra 6b: Alternative Definition of Linear Independence 7:27

048.  Linear Algebra 6c: Second Definition of Linear Dependence Fixed! 4:28

049.  Linear Algebra 6d: The Equivalence of the Two Definitions of Linear Dependence 4:44

050.  Linear Algebra 6da: Linear Independence Implies Uniqueness 3:26

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051.  Linear Algebra 6e: Linear Dependence Example 1 - Geometric Vectors  6:26

052.  Linear Algebra 6f: Linear Dependence Example 2 - Geometric Vectors  8:46

053.  Linear Algebra 6g: Linear Dependence Example 3 - Geometric Vectors  8:26

054.  Linear Algebra 6h: Linear Dependence Example 4 - Polynomials  5:26

055.  Linear Algebra 6i: Linear Dependence Example 5 - Vectors in ℝⁿ  3:21

056.  Linear Algebra 6j: Linear Systems for the Impatient  2:47

057.  Linear Algebra 6k: The Null Space  7:57

058.  Linear Algebra 6z: Outtakes from Chapters 5 and 6  1:26

059.  Linear Algebra 7a: Three Linearly Independent Vectors in the Plane 7:06

060.  Linear Algebra 7b: Four Linearly Independent Vectors in the Space  1:48

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061.  Linear Algebra 7c: Concepts of Basis and Dimension  3:17

062.  Linear Algebra 7d: Relationship among Four Quadratic Polynomials  3:42

063.  Linear Algebra 7d1: Linear Dependence by Simple Counting  5:08

064.  Linear Algebra 7e: Counting Solutions of a Linear System  12:51

065.  Linear Algebra 7f1: Null Space of a Matrix  7:10

066.  Linear Algebra 7f2: 21 Easy Null Space Exercises 11:04

067.  Linear Algebra 7g: The Nullspace of a 3x3 Matrix with a Specific Pattern 11:18

068.  Linear Algebra 8a: Linear Systems Terminology 4:27

069.  Linear Algebra 8b: Our First Linear System - A Thorough Discussion 24:17

070.  Linear Algebra 8c: Linear Systems as Collections of Equations - Not Such a Great Perspective  6:31

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071.  Linear Algebra 8d: Another 2x4 Linear System  5:06