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Exercises
- 1.1 Introduction to Systems of Linear Equations part1 09:53
- 1.1 Introduction to Systems of Linear Equations part2 13:06
- 1.1 Introduction to Systems of Linear Equations part3 10:34
- 1.1 Introduction to Systems of Linear Equations part4 15:48
- 1.2 Gaussian Elimination part 1 09:45
- 1.2 Gaussian Elimination part 2 07:40
- 1.2 Gaussian Elimination part 3 05:14
- 1.2 Gaussian Elimination part 4 10:30
- 1.2 Gaussian Elimination part 5 10:41
- 1.2 Gaussian Elimination part 6 08:49
- 1.2 Gaussian Elimination part 7 11:25
- 1.2 Gaussian Elimination part 8 13:03
- 1.3 Matrices and Matrix Operations Part 1 08:43
- 1.3 Matrices and Matrix Operations Part 2 08:33
- 1.3 Matrices and Matrix Operations Part 3 12:34
- 1.3 Matrices and Matrix Operations Part 4 12:51
- 1.3 Matrices and Matrix Operations Part 5 08:50
- 1.4 Inverses;Algebraic Properties of Matrices Part 1 08:35
- 1.4 Inverses;Algebraic Properties of Matrices Part 2 13:17
- 1.4 Inverses;Algebraic Properties of Matrices Part 3 13:44
- 1.5 Elementary Matrices and a Method for Finding the Inverse Part 1 11:28
- 1.5 Elementary Matrices and a Method for Finding the Inverse Part 2 19:14
- 1.5 Elementary Matrices and a Method for Finding the Inverse Part 3 17:12
- 1.6 More on Linear Systems and Invertible Matrices Part 1 10:36
- 1.6 More on Linear Systems and Invertible Matrices Part 2 10:58
- 1.6 More on Linear Systems and Invertible Matrices Part 3 16:55
- 1.7 Diagonal, Triangular, Symmetric Matrices 30:19
- 1.8 Matrix Transformations 21:12
- 2.1 Determinants by Cofactor Expansion Part 1 13:28
- 2.1 Determinants by Cofactor Expansion Part2 17:55
- 2.1 Addition, Scalar Multiplication, Multiplication of Matrices Part 3 15:33
- 2.2 Evaluating Determinant by Row Reduction Part 1 07:30
- 2.2 Evaluating Determinant by Row Reduction Part 2 10:28
- 2.2 Evaluating Determinant by Row Reduction Part 3 12:32
- 2.3 Properties of Determinant, Cramer's Rule Part 1 12:22
- 2.3 Properties of Determinant, Cramer's Rule Part 2 16:05
- 2.3 Properties of Determinant, Cramer's Rule Part 3 07:30
- 2.3 Properties of Determinant, Cramer's Rule Part 4 06:50
- 3.1 Vectors in 2-Space, 3-Space and n-Space Part 1 11:42
- 3.1 Vectors in 2-Space, 3-Space and n-Space Part 2 07:12
- 3.2 Norm, Dot Product and distance in n-Space Part 1 12:10
- 3.2 Norm, Dot Product and distance in n-Space Part 2 13:52
- 3.3 Orthogonality Part 1 07:33
- 3.3 Orthogonality Part 2 08:49
- 4.1 Real Vector Spaces Part 1 18:48
- 4.1 Real Vector Spaces Part 2 15:44
- 4.1 Real Vector Spaces Part 3 23:15
- 4.2 Subspaces Part 1 24:22
- 4.2 Subspaces Part 2 17:06
- 4.2 Subspaces Part 3 24:50
- 4.3 Linear Independence Part 1 24:24
- 4.3 Linear Independence Part 2 22:30
- 4.4 Coordinates and Basis Part 1 18:08
- 4.4 Coordinates and Basis Part 2 09:59
- 4.5 Dimension 19:36
- 4.6 Change of Basis 18:54
- 4.7 Row Space, Vector Space, Null Space 26:22
- 4.8 Rank, Nullity and the Fundamental Matrix Spaces 24:30
- 4.9 Basic Matrix Transformation 15:19
- 4.10 Properties of Matrix Transformation Part 1 26:13
- 4.10 Properties of Matrix Transformation Part 2 15:36
- 5.1 Eigenvalue and Eigenvectors Part 1 16:12
- 5.1 Eigenvalue and Eigenvectors Part 2 15:32
- 5.2 Diagonalization 45:45
- 6.1 Inner Products 01:07:58
- 6.2 Angle and Orthogonality in Inner Product Spaces 29:16
- 6.3 Gram–Schmidt Process; QR-Decomposition 37:19
- 8.1 General Linear Transformation 01:15:35
- 8.4 Matrices for General Linear Transformations 01:06:40
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Exercises
