Matrix Calculus
| Code | Completion | Credits | Range | Language |
|---|---|---|---|---|
| XP01MTP | ZK | 4 | 2P+1S | Czech |
- Course guarantor:
- Martin Křepela
- Lecturer:
- Martin Křepela
- Tutor:
- Martin Křepela
- Supervisor:
- Department of Mathematics
- Synopsis:
-
Similar matrices. Jordan blocks, Jordan canonical matrices. Real canonical form of a real matrix. Characteristic and minimal polynomial. Caley-Hamilton thoerem. Functions of matrices, exponential matrix. Symetric, orthogonal and positive matrices. Diagonalization of symetric, positive and circulant matrices. Singular value decomposition. Moore-Penrose pseudoinverse matrix. Generalized solution of systems of linear equations.
- Requirements:
- Syllabus of lectures:
- Syllabus of tutorials:
- Study Objective:
- Study materials:
-
1. F. Zhang: Matrix Theory, Basic Results and Techniques. Springer, 1999
2. D. S. Bernstein: Matrix Mathematics: Facts, and Formulas with Application to Linear Systems. Princeton Univ. Press, 2005
- Note:
- Time-table for winter semester 2025/2026:
- Time-table is not available yet
- Time-table for summer semester 2025/2026:
- Time-table is not available yet
- The course is a part of the following study plans:
-
- Doctoral studies, daily studies (compulsory elective course)
- Doctoral studies, combined studies (compulsory elective course)
- Doctoral studies, structured daily studies (compulsory elective course)
- Doctoral studies, structured combined studies (compulsory elective course)