Logo ČVUT
CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2019/2020

Linear Algebra 1

The course is not on the list Without time-table
Code Completion Credits Range Language
01LA1 Z 1 2+1 Czech
Lecturer:
Tutor:
Supervisor:
Department of Mathematics
Synopsis:

The subject summarizes the most important notions and theorems related to the study of vector spaces.

Requirements:

Basic high school mathematics

Syllabus of lectures:

1. A vector space

2. linear dependence and independence

3. basis and dimension

4. subspaces of a vector space

5. linear transformations

6. matrices

7. matrices of linear transformations

Syllabus of tutorials:

1. Basic information on solution of systems of linear algebraic equations.

2. Examples of vector spaces.

3. Investigation of linear dependence/independence - problems with parameters.

4. Selection of basis vectors from a set of generators, completing a basis.

5. Intersection and sum of subspaces - their basis and dimension.

6. Assembling matrices of linear mapping.

Study Objective:

Knowledge:

Basic concepts of linear algebra necessary for a proper understanding of related subjects, such as analysis of functions of several variables, numerical mathematics.

Skills:

Applications of theoretical notions and theorems in continuing subjects.

Study materials:

Key references:

[4] C. W. Curtis: Linear Algebra, An Introductory Approach. Springer-Verlag 1984

Recommended references:

[5] Faddeev D. K., Faddeeva V. N.: Computional Methods of Linear Algebra. Freeman, San Francisko, London 1963

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 2019-10-18
For updated information see http://bilakniha.cvut.cz/en/predmet24902005.html