250012 VO Linear algebra and geometry 1 (2010S)

In this term we will get acquainted with deeper concepts of Linear Algebra (eigenvalues, normal forms, quadratic forms, special groups of matrices,...). This will increasingly set us into the position to deal with quite varied, interesting applications, such as heat conduction in solids and fluids or image compresse, to mention just two. Concepts such as orthogonality which everybody would believe to be totally unrelated to such issues will, in fact, crucial. -- Research in linear algebra, largely stalling for many decades, has in more recent time seen a dramatic resurgence due to increased applicability and the emergence of novel computers and computer architectures.