PhD course in Matrix Theory, 9 credits,
Vehicular Systems
General information
A PhD course in matrix theory is given by Vehicular Systems, Department of Electrical Engineering på Linköpings universitet during fall 2012.
Course leader is Jan Åslund.
Course organization
The course is based around problem solving seminars where we meet and discuss the solutions.
Course content
Complex vector spaces. The spectral theorem for Hermitian and normal operators. Jordan canonical form and normal forms for matrix polynomials. Functions of matrices.
Examination
- Active participation in the problem solving seminars.
- Written solutions to a selected subset of the problems.
Course litterature
The Theory of Matrices, 2nd Edition, P. Lancaster & M. Tismenetsky , Academic Press, 1985
Problem solving seminars
Meeting | Time | Problems |
---|---|---|
1 | 22/11 10 AM |
1.4: 5, 10, 14, 16 1.5:11, 12, 13, 14, 15 1.6: 6, 8; 1.7: 4, 5 1.8: 1, 3, 4 2.2: 5, 6, 8, 9 2.3: 4, 6, 7 2.4: 2, 6 2.5: 2, 3 2.6: 11, 14, 15, 16 |
2 | 5/12 3 PM |
2.7: 5 2.8: 5, 6, 7, 8 2.10: 1, 2 2.11: 5 3.2: 3, 6, 7 3.5: 6, 7 3.6: 5, 7 3.8: 1, 3, 4, 6 |
3 | 13/12 10 AM |
3.12: 1, 3 3.13: 3, 4, 9, 10 3.14: 10 4.1: 5, 12 4.2: 1, 2, 5 4.3: 2, 4 4.4: 1, 6, 7, 8 4.5: 3, 10, 11, 13 |
4 | 20/12 10 AM |
4.6: 1, 3, 5 4.7: 3, 5 4.8: 4 4.9: 8, 9 4.10: 2, 4 4.11: 3, 6 5.1: 7, 8, 13, 14 |
5 | 15/1 10 AM |
5.2: 7 5.3: 2, 4, 6, 11 5.4: 3, 6 5.5: 1, 4 5.6: 1 5.7: 1, 2 |
6 | 28/1 1 PM |
5.8: 1, 4, 5, 6 5.10: 1, 2, 3 5.12: 2, 3 5.14: 5, 23 6.1: 3, 6, 7 |
7 | 5/2 8 AM |
6.2: 2 6.3: 2, 5 6.5: 1 6.6: 2, 3 6.7: 1 6.8: 3, 4, 5, 6, 8, 9, 11 |
8 | 14/2 3 PM |
7.3: 1, 2, 4, 6, 7 7.4: 1 7.5: 1, 2, 3 7.6: 1 7.7: 1, 3, 4, 5, 6, 9 |
9 | 21/2 3 PM |
7.8: 1, 2 9.1: 1 9.2: 3, 4 9.3: 1, 3 9.4: 1, 2, 4, 5 9.5: 1, 2, 5, 7, 10 |
10 | 4/3 1 PM |
9.6: 1, 2 9.7: 1, 2, 4 9.8: 2, 3, 4, 5 9.9: 1, 2, 3 9.10: 5, 6 9.12: 14, 15, 16 |