Linear Algebra 1

Code	Completion	Credits (ECTS)	Range	Language
01YLAL	Z	2	2P+2C	English

Course guarantor:

Petr Ambrož, Lubomíra Dvořáková

Lecturer:

Petr Ambrož, Lubomíra Dvořáková

Tutor:

Petr Ambrož, Lubomíra Dvořáková, Illia Koval

Supervisor:

Department of Mathematics

Synopsis:

Vector space. Linear dependence and independence. Basis and dimension. Subspace. Linear mappings and their matrices. Frobenius theorem.

Requirements:

Credit is awarded for active participation (up to 2 absences are allowed).

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 spaces / examples

2. Linear dependence and independence.

3. Calculation of dimensions of vector spaces.

4. Subspaces and operations with subspaces.

5. Linear mappings and matrices. Operations with mappings.

7. Solution of systems of linear algebraic equations.

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 & Sons, 2014

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

Recommended references:

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

Note:

Time-table for winter semester 2026/2027:

Time-table is not available yet

Time-table for summer semester 2026/2027:

Time-table is not available yet

The course is a part of the following study plans: