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