Linear Algebra
4.0
(5)
41 learners
What you'll learn
This course includes
- 11.3 hours of video
- Certificate of completion
- Access on mobile and TV
Course content
1 modules • 67 lessons • 11.3 hours of video
Linear Algebra
67 lessons
• 11.3 hours
Linear Algebra
67 lessons
• 11.3 hours
- Linear Algebra 1 | Introduction 04:25
- Linear Algebra 2 | Vectors in ℝ² 07:21
- Linear Algebra 3 | Linear Combinations and Inner Products in ℝ² 11:22
- Linear Algebra 4 | Lines in ℝ² 07:51
- Linear Algebra 5 | Vector Space ℝn 10:18
- Linear Algebra 6 | Linear Subspaces 09:34
- Linear Algebra 7 | Examples for Subspaces 10:56
- Linear Algebra 8 | Linear Span 07:59
- Linear Algebra 9 | Inner Product and Norm 12:23
- Linear Algebra 10 | Cross Product 13:13
- Linear Algebra 11 | Matrices 10:14
- Linear Algebra 12 | Systems of Linear Equations 12:53
- Linear Algebra 13 | Special Matrices 07:37
- Linear Algebra 14 | Column Picture of the Matrix-Vector Product 05:22
- Linear Algebra 15 | Row Picture 07:58
- Linear Algebra 16 | Matrix Product 08:35
- Linear Algebra 17 | Properties of the Matrix Product 10:50
- Linear Algebra 18 | Linear Maps (Definition) 07:48
- Linear Algebra 19 | Matrices induce linear maps 10:30
- Linear Algebra 20 | Linear maps induce matrices 08:44
- Linear Algebra 21 | Examples of Linear Maps 06:45
- Linear Algebra 22 | Linear Independence (Definition) 06:28
- Linear Algebra 23 | Linear Independence (Examples) 06:51
- Linear Algebra 24 | Basis of a subspace 07:22
- Linear Algebra 25 | Coordinates with respect to a Basis 08:36
- Linear Algebra 26 | Steinitz Exchange Lemma 09:56
- Linear Algebra 27 | Dimension of a Subspace 07:10
- Linear Algebra 28 | Conservation of Dimension 13:12
- Linear Algebra 29 | Identity and Inverses 11:01
- Linear Algebra 30 | Injectivity, Surjectivity for Square Matrices 10:19
- Linear Algebra 31 | Inverses of Linear Maps are Linear 07:04
- Linear Algebra 32 | Transposition for Matrices 07:28
- Linear Algebra 33 | Transpose and Inner Product 07:57
- Linear Algebra 34 | Range and Kernel of a Matrix 08:58
- Linear Algebra 35 | Rank-Nullity Theorem 14:34
- Linear Algebra 36 | Solving Systems of Linear Equations (Introduction) 09:28
- Linear Algebra 37 | Row Operations 15:52
- Linear Algebra 38 | Set of Solutions 11:17
- Linear Algebra 39 | Gaussian Elimination 13:17
- Linear Algebra 40 | Row Echelon Form 16:04
- Linear Algebra 41 | Solvability of a System 11:33
- Linear Algebra 42 | Uniqueness of Solutions 06:53
- Linear Algebra 43 | Determinant (Overview) 07:07
- Linear Algebra 44 | Determinant in 2 Dimensions 12:35
- Linear Algebra 45 | Determinant is a Volume Measure 14:07
- Linear Algebra 46 | Leibniz Formula for Determinants 09:54
- Linear Algebra 47 | Rule of Sarrus 10:27
- Linear Algebra 48 | Laplace Expansion 12:18
- Linear Algebra 49 | Formulas for Determinants 09:59
- Linear Algebra 50 | Gaussian Elimination for Determinants 11:24
- Linear Algebra 51 | Determinant for Linear Maps 10:04
- Linear Algebra 52 | Cramer's Rule 12:44
- Linear Algebra 53 | Eigenvalues and Eigenvectors 12:42
- Linear Algebra 54 | Characteristic Polynomial 12:22
- Linear Algebra 55 | Algebraic Multiplicity 11:37
- Linear Algebra 56 | Geometric Multiplicity 09:38
- Linear Algebra 57 | Spectrum of Triangular Matrices 08:24
- Linear Algebra 58 | Complex Vectors and Complex Matrices 11:52
- Linear Algebra 59 | Adjoint 11:15
- Linear Algebra 60 | Selfadjoint and Unitary Matrices 15:17
- Linear Algebra 61 | Similar Matrices 08:41
- Linear Algebra 62 | Recipe for Calculating Eigenvectors 16:21
- Linear Algebra 63 | Spectral Mapping Theorem 13:25
- Linear Algebra 64 | Diagonalization 11:06
- Linear Algebra 65 | Diagonalizable Matrices 13:45
- LU Decomposition - An Example Calculation 08:48
- PLU decomposition - An Example 07:13
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