250016 VO Introduction to linear algebra and geometry (2014W)

Students develop in-depth knowledge of the fundamental notions of linear algebra, both in the abstract algebraic version and in the concrete realisation. They are able to solve systems of linear equations over arbitrary fields, decide whether matrices are invertible and if this is the case they can determine the inverse. They know the basic theorems and techniques of proofs of linear algebra and are able to apply them in different situations.