What in Mathematics?
Linear Algebra
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9:52
16
- 1 Vectors | Chapter 1, Essence of linear algebra 9:52
- 2 Linear combinations, span, and basis vectors | Chapter 2, Essence of linear algebra 9:59
- 3 Linear transformations and matrices | Chapter 3, Essence of linear algebra 10:59
- 4 Matrix multiplication as composition | Chapter 4, Essence of linear algebra 10:04
- 5 Three-dimensional linear transformations | Chapter 5, Essence of linear algebra 4:46
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7:34
36
- 1 An Interview with Gilbert Strang on Teaching Linear Algebra 7:34
- 2 1. The Geometry of Linear Equations 39:49
- 3 2. Elimination with Matrices. 47:42
- 4 3. Multiplication and Inverse Matrices 46:49
- 5 4. Factorization into A = LU 48:05
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10:46
22
- 1 Introduction to Linear Algebra: Systems of Linear Equations 10:46
- 2 Understanding Matrices and Matrix Notation 5:26
- 3 Manipulating Matrices: Elementary Row Operations and Gauss-Jordan Elimination 10:36
- 4 Types of Matrices and Matrix Addition 6:46
- 5 Matrix Multiplication and Associated Properties 6:22
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18:18
46
- 1 Linear Algebra 1.1.1 Systems of Linear Equations 18:18
- 2 Linear Algebra 1.1.2 Solve Systems of Linear Equations in Augmented Matrices Using Row Operations 23:35
- 3 Linear Algebra 1.2.1 Row Reduction and Echelon Forms 17:00
- 4 Linear Algebra 1.2.2 Solution Sets and Free Variables 14:19
- 5 Linear Algebra 1.3.1 Vector Equations 12:38
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10:12
50
- 1 Linear Algebra – Lecture 1 – Introduction 10:12
- 2 Linear Algebra – Lecture 2 – Elimination 21:22
- 3 Linear Algebra – Lecture 3 – Echelon Form 10:02
- 4 Linear Algebra – Lecture 4 – Row Reduction 18:23
- 5 Linear Algebra Example: Row Reduction 27:24
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12:58
84
- 1 What’s the big idea of Linear Algebra? **Course Intro** 12:58
- 2 What is a Solution to a Linear System? **Intro** 5:28
- 3 Visualizing Solutions to Linear Systems – – 2D & 3D Cases Geometrically 8:19
- 4 Rewriting a Linear System using Matrix Notation 3:10
- 5 Using Elementary Row Operations to Solve Systems of Linear Equations 7:27
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44:59
35
- 1 Linear Algebra 1.1 Introduction to Systems of Linear Equations 44:59
- 2 Linear Algebra 1.2 Gaussian and Gauss-Jordan Elimination 43:12
- 3 Linear Algebra 1.3 Applications of Systems of Linear Equations 14:31
- 4 Linear Algebra 2.1 Operations with Matrices 31:52
- 5 Linear Algebra 2.2 Properties of Matrix Operations 19:56
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9:00
35
- 1 Course Introduction – Linear Algebra – Lecture 0 (of 23) 9:00
- 2 Fundamental Operations with Vectors – Linear Algebra – Lecture 1 (of 23) 1:02:21
- 3 The Dot Product – Linear Algebra – Lecture 2a (of 23) 54:51
- 4 The Dot Product – Linear Algebra – Lecture 2b (of 23) 45:04
- 5 Fundamental Operations with Matrices – Linear Algebra – Lecture 3 (of 23) 1:17:15