| 1.1: Introduction to Linear Systems | 10, 14, 20, 26, 28 |
| 1.2: Matrices and Gauss-Jordan Elimination | 6, 11, 18, 24, 30, 34, 42 |
| 1.3: On the Solutions of Linear Systems | 4, 7, 14, 23, 30, 36, 47, 55 |
| 2.1: Intro to Linear Transformations and Inverses | 4, 6, 10, 19, 20, 35, 42 |
| 2.2: Linear Transformations in Geometry | 4 , 10, 12, 18, 36, 46 |
| 2.3: Inverse of a Linear Transformation | 10, 20, 26, 30, 35, 44 |
| 2.4: Matrix Products | 4, 17, 22, 24, 28, 36, 40, 44, 76 |
| 3.1: Image and Kernel of a Linear Transformation | 5, 15, 20, 24, 31, 34, 44 |
| 3.2: Subspaces of R^n - Bases, Linear
Independence |
6, 8, 18, 23, 24, 28, 43, 45 |
| 3.3: Dimension of a Subspace | 22, 27, 32, 35, 38, 52, 61 |
| 4.1: Orthonormal Bases, Orthogonal Projection | 5, 12, 14, 16, 28, 29 |
| 4.2: Gram-Schmidt and QR Factorization | 4, 14, 17, 28, 34, 39 |
| 4.3: Orthogonal Transformations and Matrices | 2, 3, 8, 18, 20, 22 |
| 4.4: Least Squares and Data Fitting | 2, 3, 4, 8, 17, 24, 32, 34, 36 |
| 5.2: Properties of the Determinant | 3, 4, 6, 10, 14, 15 |
| 5.3: Geometric Interpretation of Determinants | 4, 13, 18, 32 |
| 6.1: Discrete Dynamical Systems | 2, 12, 30, 32, 34, 36, 40 |
| 6.2: Finding Eigenvalues | 10, 18, 20, 23, 24, 26, 32 |
| 6.3: Finding Eigenvectors | 14, 20, 24, 28, 40 |
| 6.4: Complex Eigenvalues
6.5 Stability |
6, 18, 24, 32, 38 (from 6.4)
20 (from 6.5) |
| 7.1: Coordinate Systems | 4, 10, 22, 24, 30 |
| 7.2: Diagonalization and Similarity | 16, 22, 28, 34, 48 |
| 7.3: Symmetric Matrices | 10, 12, 14, 22 24 |
| 7.4: Quadratic Forms | 6, 14, 18, 22, 36, 40, 41 |
| 7.5: Singular Value Decompositions | 6, 12, 17, 18, 28, 30, 38 |
| 8.1, 8.2: Continuous Linear Dynamical Systems | 8.1: 20, 26, 28, 30, 42
8.2: 12, 22, 26 |
| 9.1: Introduction to Linear Spaces | to be announced |
| 9.2: Coordinates in Linear Space | to be announced |