Schedule
| Date |
Section |
Topic |
Homework |
Homework Due Date |
| Th Sep 1 |
Day One
3.3-3.7 |
Matrix Algebra |
At least some of the *'ed problems will be graded
1.2: 4,5,6*,8,9,10,13*
1.3.1
2.1: 1ab,3*,5
2.2: 1a, 3
2.3: 1bdf, 4*,5
2.4: 1c,5*
2.5: 1c,4,7
3.2.3ab, 3.2.6*, 3.2.7, 3.3.1*, 3.3.2, 3.4.1
3.5.4*, 3.5.5*, 3.5.8, 3.5.9, 3.6.5*, 3.7.2, 3.7.3, 3.7.5*,
3.7.6*, 3.7.7 |
Th Sep 8 |
| Tu Sep 6 |
4.1 |
Subspaces |
1ade, 2adfi, 8, 9, 12 |
Th Sep 15 |
| Th Sep 8 |
4.2 |
Range and Nullspace |
1,3,8,12,13 |
Th Sep 15 |
| Tu Sep 13 |
Problem Solving Session |
- |
- |
- |
| Th Sep 15 |
4.3 |
Linear Independence |
2,3,6,10,11 |
Th Sep 22 |
| Tu Sep 20 |
4.4 |
Basis, Dimension
Rank+Nullity Theorem |
1,4,8,9,17 |
Th Sep 29 |
| Th Sep 22 |
4.5 |
More on Rank; Generalized Inverses |
2,3,4,5,7,10,12,18
Hwk on Generalized
Inverses (pdf) |
Th Sep 29 |
| Tu Sep 27 |
4.6 |
Least Squares |
2,3,6,7,9 |
Th Oct 6 |
| Th Sep 29 |
4.7 |
Linear Transformations |
1acf, 2, 4, 5, 6, 10, 12, 13, 16, 18, 19 |
Th Oct 6 |
| Tu Oct 4 |
4.8 |
Change of Basis
Similarity |
1, 6, 7, 8, 11 |
Th Oct 13 |
| Th Oct 6 |
5.1, 5.3-5.4, 5.5 |
Inner Product Spaces
Orthogonality
Gram-Schmidt |
Only starred problems will be graded from now on
5.3: 1ab*, 5, 6
5.4: 5, 8, 9, 12*, 14*, 15, 16
5.5: 1ab, 2, 5*, 7, 11 |
Th Oct 20 |
| Tu Oct 11 |
EXAM I |
- |
- |
- |
| Th Oct 13 |
5.6 |
Unitary and Orthogonal Matrices |
1,2,3,4,5,7,11*,14 |
Th Oct 20 |
| Tu Oct 18 |
5.9 |
Complementary Subspaces
|
1,3,5*,6,7,11*,12*,17 |
Th Oct 27 |
| Th Oct 20 |
5.11 |
Orthogonal Decomposition |
1,2,3,4,5*,11* |
Th Oct 27 |
| Tu Oct 25 |
6.1 |
Determinants |
9a*, 12* |
Th Nov 3 |
| Th Oct 27 |
6.2 (3.7, 3.9) |
Determinants
Partitioned Matrices
Schur Complement and Determinant |
3.7.11b, 3.9.4*, 3.9.7, 3.9.10
6.2.1b, 6.2.3b, 6.2.7*, 6.2.9*, 6.2.16 |
Th Nov 3 |
| Tu Nov 1 |
7.1 |
Eigensystems |
1,2,6,8*,9,10*,12,15*,17*,19* |
Tu Nov 15 |
| Th Nov 3 |
7.2 |
Diagonalization |
- |
- |
| Tu Nov 8 |
EXAM II |
- |
- |
- |
| Th Nov 10 |
7.2 |
Diagonalization |
1, 2*, 3*, 4, 5, 6*, 13*, 14, 16* |
Th Nov 17 |
| Tu Nov 15 |
7.5 |
Spectral Theorem for Normal Matrices |
- |
Tu Nov 29** |
| Th Nov 17 |
7.5 |
Spectral Theorem for Normal Matrices |
1, 3*, 4, 6*, 7*, 8*, 9, 10*, 13 |
Tu Nov 29** |
| Tu Nov 22 |
7.6 |
Quadratic Forms
Positive Definite Matrices |
Hwk (pdf) |
Th Dec 8 |
| Th Nov 24 |
Thanksgiving |
- |
- |
- |
| Tu Nov 29 |
7.7 |
Nilpotent Matrices
Jordan Structure |
5.10.8 and 7.7: 1, 2*, 5*, 6, 7* |
Th Dec 8 |
| Th Dec 1 |
7.7 |
Jordan Structure |
- |
- |
| Tu Dec 6 |
5.10
7.8 |
Range-Nullspace Decomposition
Jordan Form |
Hwk (pdf) |
NOT DUE |
| Th Dec 8 |
REVIEW |
- |
- |
- |
| Tu Dec 13 |
REVIEW |
- |
- |
- |
| Tu Dec 20 |
FINAL |
3:30-5:30pm |
- |
- |