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CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2024/2025

Linear Algebra

The course is not on the list Without time-table
Code Completion Credits Range Language
B0B01LAGA Z,ZK 7 4P+2S Czech

It is not possible to register for the course B0B01LAGA if the student is concurrently registered for or has already completed the course B0B01LAG (mutually exclusive courses).

It is not possible to register for the course B0B01LAGA if the student is concurrently registered for or has already completed the course A8B01LAG (mutually exclusive courses).

It is not possible to register for the course B0B01LAGA if the student is concurrently registered for or has previously completed the course B0B01LAG (mutually exclusive courses).

The requirement for course B0B01LAGA can be fulfilled by substitution with the course BE5B01LAL.

The requirement for course B0B01LAGA can be fulfilled by substitution with the course B0B01LAG.

Garant předmětu:
Lecturer:
Tutor:
Supervisor:
Department of Mathematics
Synopsis:
Requirements:
Syllabus of lectures:

1. Linear spaces.

2. Linear span, linear dependence and independence.

3. Basis, dimensions, coordinates w.r.t. a basis.

4. Linear mappings, matrices as linear mappings.

5. The matrix of a linear mapping, transformatio of coordinates.

6. Systems of linear equations, Frobenius' Theorem, geometry of solutions of systems.

7. The determinant of a square matrix.

8. Eigenvalues and diagonalisation, Jordan's form.

9. The abstract scalar product.

10. Orthogonal projections and orthogonalisation.

11. Least squares, SVD and pseudoinverse.

12. Mutual position of affine subspaces and their mutual distance.

13. Vector product and metric calculations in R^n.

14. Spare week.

Syllabus of tutorials:
Study Objective:
Study materials:

[1] Halmos, P.: Finite-dimensional vector spaces,2nd edition, Springer 2000.

Note:
Further information:
https://moodle.fel.cvut.cz/courses/B0B01LAGA
No time-table has been prepared for this course
The course is a part of the following study plans:
Data valid to 2024-03-28
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