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CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2022/2023

Linear Algebra

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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)
Lecturer:
Jiří Velebil (guarantor)
Tutor:
Jiří Velebil (guarantor), Matěj Dostál, Daria Dunina, Josef Dvořák, Karel Pospíšil, Vladimír Puš, 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 2022/2023:
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
Mon
roomT4:D2-256
Velebil J.
16:15–17:45
(lecture parallel1)
Dejvice
Posluchárna 256
Tue
roomT2:C3-52
Puš V.
14:30–16:00
(lecture parallel1
parallel nr.122)

Dejvice
T2:C3-52
roomT2:C3-52

18:00–19:30
(lecture parallel1
parallel nr.108)

Dejvice
T2:C3-52
roomT2:C3-52
Puš V.
16:15–17:45
(lecture parallel1
parallel nr.121)

Dejvice
T2:C3-52
roomT2:C3-52

18:00–19:30
(lecture parallel1
parallel nr.123)

Dejvice
T2:C3-52
Wed
roomT2:A4-204
Dvořák J.
11:00–12:30
(lecture parallel1
parallel nr.101)

Dejvice
Učebna
roomT2:A4-204
Žukovec N.
12:45–14:15
(lecture parallel1
parallel nr.103)

Dejvice
Učebna
roomT2:A4-204
Žukovec N.
14:30–16:00
(lecture parallel1
parallel nr.111)

Dejvice
Učebna
roomT2:C3-52
Žukovec N.
16:15–17:45
(lecture parallel1
parallel nr.114)

Dejvice
T2:C3-52
room

11:00–12:30
(lecture parallel1
parallel nr.106)

roomT2:C4-78
Pospíšil K.
12:45–14:15
(lecture parallel1
parallel nr.105)

Dejvice
T2:C4-78
roomT2:C4-78

14:30–16:00
(lecture parallel1
parallel nr.116)

Dejvice
T2:C4-78
Thu
roomT2:A4-202b
Dunina D.
12:45–14:15
(lecture parallel1
parallel nr.104)

Dejvice
Učebna
roomT2:A4-202a
Dunina D.
14:30–16:00
(lecture parallel1
parallel nr.102)

Dejvice
Ucebna
room

16:15–17:45
(lecture parallel1
parallel nr.107)

roomT2:A4-204
Puš V.
14:30–16:00
(lecture parallel1
parallel nr.112)

Dejvice
Učebna
roomT2:A4-204
Puš V.
16:15–17:45
(lecture parallel1
parallel nr.113)

Dejvice
Učebna
roomT2:A4-203a
Dostál M.
14:30–16:00
(lecture parallel1
parallel nr.115)

Dejvice
Učebna
roomT2:C2-82
Dvořák J.
16:15–17:45
(lecture parallel1
parallel nr.120)

Dejvice
T2:C2-82
Fri
roomT2:D3-309
Velebil J.
11:00–12:30
(lecture parallel1)
Dejvice
T2:D3-309
roomT2:D3-209
Velebil J.
11:00–12:30
(lecture parallel1)
Dejvice
T2:D3-209
Time-table for summer semester 2022/2023:
Time-table is not available yet
The course is a part of the following study plans:
Data valid to 2023-02-08
Aktualizace výše uvedených informací naleznete na adrese https://bilakniha.cvut.cz/en/predmet5605306.html