Valid from: Autumn 2017
Decided by: Professor Thomas Johansson
Date of establishment: 2017-02-21
Division: Mathematics
Course type: Course given jointly for second and third cycle
The course is also given at second-cycle level with course codes: FMA120, FMAN70
Teaching language: English
The aim of the course is to give knowledge about the structure of finite dimensional linear maps, and their representing matrices, which is necessary for research in e.g. mechanics.
Knowledge and Understanding
For a passing grade the doctoral student must
Competences and Skills
For a passing grade the doctoral student must
Matrices and determinants. Linear spaces. Spectral theory.The Jordan normal form. Matrix factorizations. Matrix polynomials and matrix functions. Norms. Scalar products. Singular values. Normal matrices. Quadratic and Hermitian forms. The Least Squares method and pseudo inverses.
Holst, A. & Ufnarovski, V.: Matrix Theory. 2014. ISBN 9789144100968.
Types of instruction: Lectures, exercises
Examination formats: Written exam, oral exam, written assignments.
Written take-home exam. Programming assignments.
Grading scale: Failed, pass
Examiner:
Assumed prior knowledge: FMA420 Linear algebra and FMA430 Calculus in several variables.
Course coordinators:
Web page: http://www.maths.lth.se/course/matris/