Schema
The course will cover the topics given in the schedule below. Examination is in the form of homework problems.
| Date/ Time |
Place |
Topic | Material |
| Dec 09 13.15 |
E2347a |
Course introduction, basic concepts, Gauss elimination, LDU decomposition |
|
| Dec 16 13.15 |
E2347a |
Echelon forms, (fundamental) vector spaces | Slides Problems |
| Jan 13 13.15 |
E3139 |
Orthogonality, orthogonalization, least squares | |
| Feb 10 10.15 |
E2349 |
Determinants, eigenvalues, eigenvectors | Slides Problems |
| Feb 10 13.15 |
E3139 |
Diagonalization, difference equations and
applications (Extra reading: The $25 billion eigenvector) |
Slides Problems |
| Mar 10 13.15 |
E3139 |
Differential equations, Gerschgorin's circle theorem, symmetric/hermitian matrices, and similarity transformations |
Slides Problems |
| Mar 23 10.15 |
E2349 |
Quadratic forms and some matrix cmputations | Slides (probl. see next) |
| Apr 06 13.15 |
E2349 |
Singular value decomposition | Slides Problems |