Schedule
| Topic | Resources | |
|---|---|---|
| Week 0 | Welcome! | [slides] |
| Week 1 | Matrices and Vectors | [slides] [video] [calc] |
| Adjectives | [slides] [video] [calc] | |
| Matrix-Vector Products | [slides] [video] [calc] | |
| Digraphs | [slides] [video] [calc] | |
| Week 2 | Vector Geometry | [slides] [video] [calc] |
| Matrix Multiplication | [slides] [video] [calc] | |
| Row Echelon Forms | [slides] [video] [calc] | |
| Week 3 | Linear Systems | [slides] [video] [calc] [notes+] |
| Gauss-Jordan Elimination | [slides] [video] [calc] [notes+] | |
| Week 4 | Nonsingular Matrices | [slides] [video] [calc] |
| EA=R Factorizations | [slides] [video] [calc] | |
| PA=LU Factorizations | [slides] [video] [calc] | |
| Fri 25-Sep | Exam I covers weeks 1–4 | [info] [pdf] [key] |
| Week 5 | Eigenvalues | [slides] [video] [calc] |
| Null Spaces | [slides] [video] [calc] | |
| Week 6 | Column Spaces | [slides] [video] [calc] |
| The Four Fundamental Subspaces | [slides] [video] [calc] | |
| Linear Independence | [slides] [video] [calc] | |
| Week 7 | Bases | [slides] [video] [calc] |
| Dimension | [slides] [video] [calc] | |
| Orthogonality of Subspaces | [slides] [video] [calc] | |
| Projections: A First Look | [slides] | |
| Week 8 | Projections | [slides] [video] [calc] |
| Least Squares | [slides] [video] [calc] | |
| Fri 23-Oct | Exam II covers weeks 5–8 | [info] [pdf] [key] |
| Week 9 | A=QR Factorizations | [slides] [video] [calc] |
| The Gram-Schmidt Algorithm | [slides] [video] [calc] | |
| Week 10 | Determinants I | [slides] [video] [calc] |
| Determinants II | [slides] [video] [calc] | |
| Complex Numbers | [slides] [video] [calc] | |
| Week 11 | Polynomial Algebra | [slides] [video] [calc] |
| The Characteristic Polynomial | [slides] [video] [calc] | |
| Diagonalization | [slides] [video] [calc] | |
| Week 12 | Matrix Exponentials | [slides] [video] [calc] [notes+] |
| The Spectral Theorem | [slides] [video] [calc] | |
| Definiteness of Quadratic Forms | [slides] [video] [calc] [notes+] | |
| Fri 20-Nov | Exam III covers weeks 9–12 | [info] |