Linear Algebra

Course guarantor:

Martina Bečvářová

Lecturer:

Romana Zibnerová

Tutor:

Romana Zibnerová

Supervisor:

Department Děčín

Synopsis:

Vector spaces (linear combinations, linear independence, dimension, basis, coordinates). Matrices and operations. Systems of linear equations and their solvability. Determinants and their applications. Scalar product. Similarity of matrices (eigenvalues and eigenvectors). Quadratic forms and their classification.

Requirements:

algebra and arithmetic (secondary schools level)

Syllabus of lectures:

Syllabus of tutorials:

Study Objective:

Learning basic concepts and methods of linear algebra and their applications in solving standard examples.

Study materials:

J. Nagy, J. Taufer, Algebra, ČVUT, Praha, 1997, skriptum FD ČVUT.

J. Bečvář, Lineární algebra, Matfyzpress, Praha, 2000.

L. Motl, M. Zahradník, Pěstujeme lineární algebru, UK, Karolinum, Praha, 1995.

http://www.fd.cvut.cz/personal/becvamar/Linearni%20algebra.html.

Note:

Time-table for winter semester 2024/2025:

	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	roomDP:132 Zibnerová R. 11:30–13:00 (lecture parallel111) Decin
Wed	roomDP:132 Zibnerová R. 13:15–14:00 (parallel nr.111) Decin
Thu
Fri

Time-table for summer semester 2024/2025:

Time-table is not available yet

The course is a part of the following study plans:

• Bachelor TET-LOG Part-Time from 2022/23 (compulsory course)
• Bachelor TET-LOG Part-Time from 2023/24 (compulsory course)
• Bachelor TET-DOS Full-Time from 2023/24 (compulsory course)
• Bachelor TET Common Part of Study Full-Time from 2024/25 (compulsory course)
• Bachelor TET-DOS Full-Time from 2024/25 (compulsory course)