| Lecture | Date | Section | Topic | Homework |
|---|---|---|---|---|
| 1 | 1/20 | 1.0 | Preliminaries (Watch Lecture #21) | 1.0# 1 |
| 2 | 1/24 | 1.1 | The Eigenvalue-Eigenvector Equation | 1.1# 1, 2, 3, 5, 6, 8 |
| 3 | 1/27 | 1.2 | The Characteristic Polynomial | 1.2# 1, 2, 3, 5 |
| 4 | 1/31 | 1.3 | Similarity (Watch Lecture #22) | |
| 5 | 2/03 | 1.3 | Similarity - con'd | 1.2# 7 |
| 6 | 2/07 | 1.3 | Similarity - con'd | 1.3# 1, 3, 7 |
| 7 | 2/10 | 1.3 | Similarity - con'd | 1.3# 4, 6, 12, 13, 16 |
| 8 | 2/14 | 1.4 | Eigenvectors | |
| 9 | 2/17 | 1.4 | Eigenvectors | 1.4# 1, 2, 4, 6 |
| 10 | 2/21 | 1.4 | Eigenvectors | Two more problems |
| 11 | 2/24 | 2.1 | Unitary Matrices | 2.1# 1, 2, 3, 4 |
| 12 | 2/28 | 2.1 | Unitary Matrices | 2.1# 9, 10, 12 |
| 13 | 3/02 | 2.2 | Unitary Equivalence | 2.2# 8 |
| 14 | 3/06 | 2.5 | Normal Matrices | 2.5# 1, 2, 3 |
| 15 | 3/09 | 2.5 | Normal Matrices | 2.5# 8, 11, 14, 15 |
| 16 | 3/20 | 2.5 | Normal Matrices | 2.5# 16, 19, 21, 24 |
| 17 | 3/23 | 2.3 | Schur's Theorem | 2.3# 3, 4 |
| 18 | 3/27 | 2.4 | Applications of Schur's Theorem | 2.4# 2, 4, 5, |
| 19 | 3/30 | 2.4 | Applications of Schur's Theorem | Some extra problems |
| 20 | 4/03 | 2.4 | Applications of Schur's Theorem | |
| 21 | 4/06 | 3.1 | Jordan Canonical Form | |
| 22 | 4/10 | 3.1 | Jordan Canonical Form | |
| 23 | 4/13 | 3.1 | Jordan Canonical Form | 3.1# 2, 3 |
| 24 | 4/17 | 3.2 | Some Observations and Applications | 3.2# 2, 3, 5, 6, 7, 8 |
| 25 | 4/20 | 3.2 | Some Observations and Applications | |
| 26 | 4/24 | 3.3 | Polynomials and Matrices | 3.3# 1, 3, 9, 12 |
| 27 | 4/27 | Two more problems | ||
| 28 | 5/01 |