Aktuálně tento předmět nevyučuji.

1. Systems of linear equations and Gaussian elimination.
2. Practical aspects of systems of linear equations. RREF and Gauss-Jordan elimination. Matrix operations.
3. Regular matrices and matrix inverse.
4. Permutations and groups.
5. Fields. Modular arithmetics.
6. Vector spaces. Linear combinations and span.
7. Linear independence, basis, dimension.
8. Coordinates. Matrix spaces. Interpretation and uniqueness of RREF.
9. Transformation of coordinates, linear functions and their matrices.
10. Isomorphisms. Image and kernel.
11. Affine sets and functions.