1 Week One Introduction (2.56 MB)
1 Definition of a Matrix Lecture 1 (64.27 MB)
3 Addition and Multiplication of Matrices Lecture 2 (95.12 MB)
8 Special Matrices Lecture 3 (84.03 MB)
1 Transpose Matrix Lecture 4 (89.51 MB)
5 Inner and Outer Products Lecture 5 (90.27 MB)
8 Inverse Matrix Lecture 6 (121.34 MB)
1 Orthogonal Matrices Lecture 7 (45.81 MB)
4 Rotation Matrices Lecture 8 (77.36 MB)
7 Permutation Matrices Lecture 9 (58.83 MB)
1 Week Two Introduction (2.24 MB)
1 Gaussian Elimination Lecture 10 (138.67 MB)
2 Reduced Row Echelon Form Lecture 11 (81.94 MB)
4 Computing Inverses Lecture 12 (125.82 MB)
1 Elementary Matrices Lecture 13 (107.92 MB)
3 LU Decomposition Lecture 14 (101.87 MB)
5 Solving (LU)x = b Lecture 15 (111.2 MB)
1 Week Three Introduction (2.4 MB)
1 Vector Spaces Lecture 16 (72.33 MB)
4 Linear Independence Lecture 17 (87.96 MB)
6 Span, Basis and Dimension Lecture 18 (104.16 MB)
1 Gram-Schmidt Process Lecture 19 (136.67 MB)
2 Gram-Schmidt Process Example Lecture 20 (94.12 MB)
1 Null Space Lecture 21 (114.17 MB)
2 Application of the Null Space Lecture 22 (140.05 MB)
5 Column Space Lecture 23 (88.41 MB)
7 Row Space, Left Null Space and Rank Lecture 24 (150.53 MB)
1 Orthogonal Projections Lecture 25 (107.11 MB)
3 The Least-Squares Problem Lecture 26 (103.59 MB)
5 Solution of the Least-Squares Problem Lecture 27 (151.33 MB)
1 Week Four Introduction (2.46 MB)
1 Two-by-Two and Three-by-Three Determinants Lecture 28 (77.82 MB)
5 Laplace Expansion Lecture 29 (131.84 MB)
7 Leibniz Formula Lecture 30 (109.78 MB)
9 Properties of a Determinant Lecture 31 (150.8 MB)
1 The Eigenvalue Problem Lecture 32 (85.77 MB)
3 Finding Eigenvalues and Eigenvectors (Part A) Lecture 33 (99.56 MB)
6 Finding Eigenvalues and Eigenvectors (Part B) Lecture 34 (69.86 MB)
1 Matrix Diagonalization Lecture 35 (93.44 MB)
4 Matrix Diagonalization Example Lecture 36 (147.23 MB)
6 Powers of a Matrix Lecture 37 (55.04 MB)
8 Powers of a Matrix Example Lecture 38 (64.34 MB)
1 Concluding Remarks (6.64 MB)