Students understand and master vectors and matrices; they master elementary operations of analytical geometry (creation of spaces, projections, coordinate transformations, etc.); they master systems of linear equations; they understand and master eigenvalues and eigenvectors.

None

The course includes the following main topics:

• Vector spaces (vectors, linear independence, generatrix systems and bases, dimension, subspaces and subspaces)
• Vector products (scalar and vector product, norm, orthogonality and orthogonal projections)
• Matrix arithmetic (basic arithmetic, determinant and inverse matrix, rank, linear mappings)
• Linear systems of equations (homogeneous and inhomogeneous systems, solvability, Gaussian elimination method)
• Eigenvalues and vectors (definition and calculation)

The following basic literature will be used in the course:

• Teschl, G., Teschl, S., Mathematics for Computer Scientists, Vol. 1, Springer, 2006; Meyberg, K., Vachenauer, P., Higher Mathematics 1, Springer, 2003;
• Burg, K., et.al, Higher Mathematics for Engineers, Volume II: Linear Algebra, Springer, 2012;

Lecture, exercises, accompanying tutorial (see study-accompanying Repetitorium LVNr: B2.09100.10.014), accompanying use of computer algebra systems (MATLAB) as well as digital media for self-study.

Final grade comprised of

• Class participation,
• Partial or final examination