This course is the continuation of the course Linear algebra I. Linear algebra is an indispensable tool of engineering mathematics. The course offers an introduction into the theory with many applications. The new notions are practised in the accompanying exercise classes.

Objective

Upon completion of this course, students will be able to recognize linear structures, and to solve corresponding problems in theory and in practice.

Content

Linear maps, kernel and image, coordinates and matrices, coordinate transformations, norm of a matrix, orthogonal matrices, eigenvalues and eigenvectors, algebraic and geometric multiplicity, eigenbasis, diagonalizable matrices, symmetric matrices, orthonormal basis, condition number, linear differential equations, Jordan decomposition, singular value decomposition, examples in MATLAB, applications.

Literature

* K. Nipp / D. Stoffer, Lineare Algebra, vdf Hochschulverlag, 5. Auflage 2002 * K. Meyberg / P. Vachenauer, Höhere Mathematik 2, Springer 2003