800428 VO Lineare Algebra und Geometrie 1 (2004S)

Linear Algebra is the theory of finite dimensional vector spaces and linear mappings. Its motivation is twofold: on the one hand the geometry of the Euclidean plane and of the 3-dimensional space, on the other hand,
the search for solutions of systems of linear equations. The appropriate and fundamental abstract concept in this context is that of a finite
dimensional vector space (over a field K) and that of a linear mapping. In the first part of this lecture the following chapters are treated: 1) The
3-dimensional space, 2) Vectorspaces, 3) Linear mappings and matrices, 4) Systems of linear equations, 5) Determinants, 6) Euclidean and unitary vector spaces.