250065 VO Linear algebra and geometry 1 (2015S)

Students develop in-depth knowledge of the fundamental notions of linear algebra, both in the abstract algebraic version and in the concrete realisation. They know various methods for computing determinants and characteristic polynomials and can determine whether linear maps are diagonalizable. They can use inner products to solve algebraic and geometric problems. They know the basic theorems and techniques of proofs of linear algebra and are able to apply them in different situations.