- Description:
-
1. Vector space.
2. Linear dependence and independence.
3. Basis and dimension.
4. Subspaces of vector spaces.
5. Linear mappings.
6. Matrices of linear mappings.
7. Frobenius theorem.
- Contents:
-
1. Vector space
2. Linear (in)dependance
3. Basis and dimension
4. Subspace
5. Linear mapping
6. Matrix of linear mapping
7. Frobenius theorem
- Seminar contents:
-
1. Vector space / examples
2. Linear dependence and independence.
3. Calculation of vector-space dimension.
4. Subspaces of vector spaces and spans.
5. Linear mappings and matrix composition. Mapping operations.
7. Solution of linear algebraic equation systems.
- Recommended literature:
-
Key references:
[1] L. Dvořáková: Linear algebra 1, textbook, accessible online on demand
[2] T. M. Apostol: Linear Algebra: A First Course with Applications to Differential Equations, John Wiley & Sons, 2014
[3] R. C. Penney: Linear algebra and applications, John Wiley &Sons, 2015
Recommended references:
[3] G. Strang: Introduction to Linear Algebra, Wesley ? Cambridge Press, 2016
Abbreviations used:
Semester:
- W ... winter semester (usually October - February)
- S ... spring semester (usually March - June)
- W,S ... both semesters
Mode of completion of the course:
- A ... Assessment (no grade is given to this course but credits are awarded. You will receive only P (Passed) of F (Failed) and number of credits)
- GA ... Graded Assessment (a grade is awarded for this course)
- EX ... Examination (a grade is awarded for this course)
- A, EX ... Examination (the award of Assessment is a precondition for taking the Examination in the given subject, a grade is awarded for this course)
Weekly load (hours per week):
- P ... lecture
- C ... seminar
- L ... laboratory
- R ... proseminar
- S ... seminar