CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2024/2025

Linear Algebra 1

The course is not on the list Without time-table
Code Completion Credits Range Language
01LAL Z 2 2P+2C Czech
Vztahy:
The course 01LALZ can be graded only after the course 01LAL has been successfully completed.
Garant předmětu:
Lecturer:
Tutor:
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:
Further information:
No time-table has been prepared for this course
The course is a part of the following study plans:
Data valid to 2024-06-16
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