Table of Contents
E2 212: Matrix Theory
Logistics
Instructor: Chandra R. Murthy (cmurthy at ece)
Class hours: MWF 9.30-11am, Room EC1.07, ECE Dept.
TAs: Pratosh A. P.
Textbooks:
1. Horn and Johnson, Matrix Analysis, Cambridge University Press
2. David Lewis, Matrix Theory, Allied Publishers
3. Golub and Van Loan, Matrix Computations, 3rd Ed., John Hopkins University Press
4. Gilbert Strang, Linear Algebra and its Application, 3rd Ed., Harcourth Brace Jovanovich Pubs. Also see the video lectures here.
Syllabus:
| S. No. | Topic | Num. Lectures |
|---|---|---|
| 1 | Vector spaces, matrices, determinant, rank, etc | 4 |
| 2 | Norms, error analysis in linear systems | 4 |
| 3 | Eigenvalues and eigenvectors | 3 |
| 4 | Canonical, symmetric and Hermitian forms, matrix factorizations | 6 |
| 5 | Variational characterizations, the quadratic form | 4 |
| 6 | Location and perturbation of eigenvectors | 4 |
| 7 | Least-squares problems, generalized inverses | 4 |
| 8 | Miscellaneous topics | 3 |
| Total | 32 |
Grading
Homeworks/in-class quizzes: 20%
Midterm 1: Sep. 23, 2013, in class: 30%. Here is last year's midterm.
Final: Dec. 05, 2013, 9.30am - 12.30pm, EC1.08: 50%. Question paper here.
Notes:
- There will be no makeup exams.
- The in-class quizzes will be short half-hour tests about once in two weeks, that will comprise of questions closely related to the homework problems.
Homeworks
Homeworks are posted here.
Announcements
- The first class will be held at 9:30am on Aug. 07, 2013 at EC1.07, Dept. of ECE.
- 12 Aug. 2013: HW1 is now online. The first quiz will be on 23 Aug. 2013. Here is Prathosh's solution.
- 23 Aug. 2013: HW2 is now online. The second quiz will be on 06 Sep. 2013.
- 11 Sep. 2013: HW3 is now online.
- 16 Sep. 2013: Last year's midterm is now online.
- 23 Sep. 2013: HW4 is now online. The third quiz will be on 04 Oct. 2013.
- 05 Oct. 2013: HW5 is now online. The fourth quiz will be on 18 Oct. 2013.
- 21 Nov. 2013: HW6 is now online. The fifth quiz will be on 08 Nov. 2013.
- 06 Nov. 2013: HW7 is now online. The sixth quiz will be on 22 Nov. 2013.
- 24 Nov. 2013: HW8 is now online.
- The final exam will be held at room EC1.08.
