260226 VO Linear Algebra for Physicists (2022W)

The students obtain basic knowledge and skills in linear algebra.

Content: elementary algebraic structures (groups, fields), geometry in the plane and in hree-dimensional space (vevtor addition, scalar product, vektor product, sum convention, Kronecker symbol, epsilon symbol), real and complex vector spaces, linear operators and matrices, quotient spaces (equivalence relation), dual space, systems of linear equations, determinants, eigenvalues and normal forms (diagonalizability, Jordan normal form), Euclidean und unitary vector spaces, tensor product.