401-0141-00L  Linear Algebra

SemesterAutumn Semester 2017
LecturersM. Auer
Periodicityyearly recurring course
Language of instructionGerman

AbstractIntroduction to Linear Algebra
ObjectiveTo acquire basic knowledge of Linear Algebra and Numerical Methods. Enhanced capability for abstract and algorithmic thinking based on mathematical concepts and models. Ability to select appropriate numerical linear algebra methods, to apply them properly and to implement them efficiently in MATLAB.
Content1 Introduction, calculations using MATLAB
2 Linear systems I
3 Linear systems II
4 Scalar- & vektorproduct
5 Basics of matrix algebra
6 Linear maps
7 Orthogonal maps
8 Trace & determinant
9 General vectorspaces
10 Metric & scalarproducts
11 Basis, basistransform & similar matrices
12 Eigenvalues & eigenvectors
13 Spectral theorem & diagonalisation
14 Repetition
Lecture notesMore information on: Link
LiteratureK. Nipp, D. Stoffer, Lineare Algebra, VdF Hochschulverlag ETH

G. Strang, Lineare Algebra, Springer