| Jan. 28 |
1.1-1.2, Appendix A, Appendix C (pgs. 1-5, 417-426, 432-444) |
vector space, complex numbers, matrices, systems of linear equations, determinants |
| Jan 31 |
1.3-1.7 (pgs. 5-20) |
subspaces, spans, linear dependence and independence |
| Feb. 4 |
2.1-2.4 |
basis, dimension of a vector space, rank, full rank factorization, linear transformations |
| Feb. 6 |
snow day! |
|
| Feb. 11 |
2.5, 2.6, 3.1 |
change of basis, similarity, equivalence relation, polynomial bases, lagrange interpolation, Cramer's Rule, block matrices |
| Feb. 13 |
3.2, 3.3, 4.1, 4.2 |
direct sums of block partitions, determinants of block matrices, Rank-Nullity Theorem, more on rank |
| Feb. 18 |
4.3, 4.4 |
LU factorization, row equivalence |
| Feb. 20 |
no class |
|
| Feb. 25 |
5.3-5.5 |
inner products, norms, normed vector spaces |
| Feb. 27 |
6.1-6.4 |
orthonormal sequences, orthonormal bases, Gram-Schmidt, Riesz Representation Theorem |