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
Mon Tue Wed Thu Fri - Time-table for summer semester 2023/2024:
- Time-table is not available yet
- The course is a part of the following study plans:
-
- Medical electronics and bioinformatics (compulsory course in the program)
- Electronics and Communications 2018 (compulsory course in the program)
- Electrical Engineering, Power Engineering and Management (compulsory course in the program)
- Electrical Engineering, Power Engineering and Management - Applied Electrical Engineering 2018 (compulsory course in the program)
- Electrical Engineering, Power Engineering and Management - Electrical Engineering and Management (compulsory course in the program)