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. The course will be continued as Linear algebra II.
Learning 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
Systems of linear equations, Gaussian elimination, solution space, matrices, LR decomposition, Determinants, structure of linear spaces, normed vector spaces, inner products, method of least squares, QR decomposition, introduction to MATLAB, applications
Literature
* K. Nipp / D. Stoffer, Lineare Algebra, vdf Hochschulverlag, 5. Auflage 2002 * K. Meyberg / P. Vachenauer, Höhere Mathematik 1, Springer 2003
Prerequisites / Notice
Active participation in the exercises is part of this course. It is expected, that students submit 3/4 of all exercises for control.
