CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2023/2024
UPOZORNĚNÍ: Jsou dostupné studijní plány pro následující akademický rok.

# Linear Algebra 1

Code Completion Credits Range Language
01LAL Z 2 2P+2C Czech

The course 01LALZ can be graded only after the course 01LAL has been successfully completed.

Garant předmětu:
Lubomíra Dvořáková
Lecturer:
Petr Ambrož, Lubomíra Dvořáková
Tutor:
Petr Ambrož, Marek Dědič, Lubomíra Dvořáková, Lukáš Heriban, Miroslav Kolář, David Kramár, David Krejčiřík, Jiří Mikyška, Magdalena Parýzková, Severin Pošta
Supervisor:
Department of Mathematics
Synopsis:

1. Vector space.

2. Linear dependence and independence.

3. Basis and dimension.

4. Subspaces of vector spaces.

5. Linear mappings.

6. Matrices of linear mappings.

7. Frobenius theorem.

Requirements:

Just basic highschool mathematics knowledge is demanded.

Syllabus of lectures:

1. Vector space

2. Linear (in)dependance

3. Basis and dimension

4. Subspace

5. Linear mapping

6. Matrix of linear mapping

7. Frobenius theorem

Syllabus of tutorials:

1. Vector space / examples

2. Linear dependence and independence.

3. Calculation of vector-space dimension.

4. Subspaces of vector spaces and spans.

5. Linear mappings and matrix composition. Mapping operations.

7. Solution of linear algebraic equation systems.

Study Objective:
Study materials:

Key references:

[1] L. Dvořáková: Linear algebra 1, textbook, accessible online on demand

[2] T. M. Apostol: Linear Algebra: A First Course with Applications to Differential Equations, John Wiley &amp; Sons, 2014

[3] R. C. Penney: Linear algebra and applications, John Wiley &amp;Sons, 2015

Recommended references:

[3] G. Strang: Introduction to Linear Algebra, Wesley – Cambridge Press, 2016

Note:
Time-table for winter semester 2023/2024:
Time-table is not available yet
Time-table for summer semester 2023/2024:
Time-table is not available yet
The course is a part of the following study plans:
Data valid to 2024-04-21
Aktualizace výše uvedených informací naleznete na adrese https://bilakniha.cvut.cz/en/predmet4085206.html