CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2023/2024

# Linear Algebra

Code Completion Credits Range Language
B0B01LAGA Z,ZK 7 4P+2S Czech
The course cannot be taken simultaneously with:
Linear Algebra (A8B01LAG)
Linear Algebra (B0B01LAG)
Garant předmětu:
Jiří Velebil
Lecturer:
Jiří Velebil
Tutor:
Matěj Dostál, Daria Dunina, Josef Dvořák, Karel Pospíšil, Vladimír Puš, Jiří Velebil, Natalie Žukovec
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
Time-table for winter semester 2023/2024:
 06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00 roomT4:D2-256Velebil J.16:15–17:45(lecture parallel1)DejvicePosluchárna 256 roomT2:C3-52Puš V.14:30–16:00(lecture parallel1parallel nr.122)DejviceT2:C3-52roomT2:C3-5218:00–19:30(lecture parallel1parallel nr.108)DejviceT2:C3-52 roomT2:C3-52Puš V.16:15–17:45(lecture parallel1parallel nr.121)DejviceT2:C3-52roomT2:C3-5218:00–19:30(lecture parallel1parallel nr.123)DejviceT2:C3-52 roomT2:A4-20411:00–12:30(lecture parallel1parallel nr.101)DejviceUčebnaroomT2:A4-20412:45–14:15(lecture parallel1parallel nr.103)DejviceUčebnaroomT2:A4-20414:30–16:00(lecture parallel1parallel nr.111)DejviceUčebnaroomT2:C3-5216:15–17:45(lecture parallel1parallel nr.114)DejviceT2:C3-52 room11:00–12:30(lecture parallel1parallel nr.106)roomT2:C4-7812:45–14:15(lecture parallel1parallel nr.105)DejviceT2:C4-78roomT2:C4-7814:30–16:00(lecture parallel1parallel nr.116)DejviceT2:C4-78 roomT2:A4-202b12:45–14:15(lecture parallel1parallel nr.104)DejviceUčebnaroomT2:A4-202a14:30–16:00(lecture parallel1parallel nr.102)DejviceUcebnaroom16:15–17:45(lecture parallel1parallel nr.107) roomT2:A4-204Puš V.14:30–16:00(lecture parallel1parallel nr.112)DejviceUčebnaroomT2:A4-204Puš V.16:15–17:45(lecture parallel1parallel nr.113)DejviceUčebna roomT2:A4-203a14:30–16:00(lecture parallel1parallel nr.115)DejviceUčebnaroomT2:C2-8216:15–17:45(lecture parallel1parallel nr.120)DejviceT2:C2-82 roomT2:D3-309Velebil J.11:00–12:30(lecture parallel1)DejviceT2:D3-309 roomT2:D3-209Velebil J.11:00–12:30(lecture parallel1)DejviceT2:D3-209
Time-table for summer semester 2023/2024:
Time-table is not available yet
The course is a part of the following study plans:
Data valid to 2023-08-30
Aktualizace výše uvedených informací naleznete na adrese https://bilakniha.cvut.cz/en/predmet5605306.html