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CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2021/2022

Matrix Calculus

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Code Completion Credits Range Language
XP01MTP ZK 4 2P+1S Czech
Lecturer:
Martin Křepela (guarantor)
Tutor:
Martin Křepela (guarantor)
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 2021/2022:
Time-table is not available yet
Time-table for summer semester 2021/2022:
06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00
Mon
Tue
roomT2:A4-202a
Křepela M.
14:30–16:00
(lecture parallel1)
Dejvice
Ucebna
Wed
roomT2:A4-203a
Křepela M.
16:15–17:00
(lecture parallel1)
Dejvice
Učebna
roomT2:A4-203a
Křepela M.
17:00–17:45
(lecture parallel1
parallel nr.101)

Dejvice
Učebna
Thu
Fri
The course is a part of the following study plans:
Data valid to 2022-08-15
For updated information see http://bilakniha.cvut.cz/en/predmet11506204.html