Linear Algebra 1

Course guarantor:

Lubomíra Dvořáková

Lecturer:

Dana Majerová

Tutor:

Dana Majerová

Supervisor:

Department of Software Engineering

Synopsis:

The basics of vector spaces.

Requirements:

Credit is awarded after successfully completing 2 credit tests (at least 50% of the total points must be obtained for each). The student has 3 attempts for each test.

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 & 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:

Further information:

https://moodle-vyuka.cvut.cz/

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:

• Applications of Informatics in Natural Sciences (compulsory course in the program)