Time and location:
| Date | Topic | Lecture notes |
|---|---|---|
| February 17 | Dot product, inner product. Cauchy-Schwarz inequality. | lecture notes |
| February 24 | Norm and orthogonality. Orthonormal basis, Gram-Schmidt orthogonalization. | lecture notes |
| March 3 | Othogonal complement and projection. | lecture notes |
| March 10 | Method of least squares, pseudoinverse. Isometries and orthogonal matrices. | lecture notes |
| March 17 | Determinants - definition, row operations. | lecture notes |
| March 24 | Determinants - multiplicativity, linear equations, inverse. | lecture notes |
| March 31 | Cancelled. | |
| April 7 | Applications of determinants. Eigenvalues and eigenvectors. | lecture notes |
| April 14 + substitution for March 31 | Matrix similarity. Diagonalization and Jordan normal form. | lecture notes |
| April 21 | Cayley-Hamilton theorem. Symmetric and positive matrices, Perron-Frobenius theorem. | lecture notes |
| April 28, May 5 | Bilinear and quadratic forms. Classification of quadrics. | lecture notes |
| May 12 | Positive (semi)definiteness. | lecture notes |
| May 19 | Matrix decompositions. | lecture notes |