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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
01LNA1 Z 2 2+2 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. Vector space

2. Linear dependence and independence

3. Basis and dimension

4. Subspaces of a vector space

5. Linear transformations

6. Matrices of linear transformations

7. Frobenius theorem

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, basis, coordinates.

4. Selection of basis vectors from a set of generators, completion of a basis from linearly independent vectors.

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

6. Assembling matrices of linear mapping.

7. Solution of equations for 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:
http://kmlinux.fjfi.cvut.cz/~balkolub/vyuka.html
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/predmet2817206.html