Course Syllabus for

Matrix Theory, Minor Course
Matristeori, mindre kurs

FMA121F, 6 credits

Valid from: Autumn 2017
Decided by: Professor Thomas Johansson
Date of establishment: 2017-02-21

General Information

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

Course Contents

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.

Course Literature

Holst, A. & Ufnarovski, V.: Matrix Theory. 2014. ISBN 9789144100968.

Instruction Details

Types of instruction: Lectures, exercises

Examination Details

Examination formats: Written exam, oral exam, written assignments. Written take-home exam. Programming assignments.
Grading scale: Failed, pass

Admission Details

Assumed prior knowledge: FMA420 Linear algebra and FMA430 Calculus in several variables.

Course Occasion Information

Contact and Other Information

Course coordinators:
Web page:

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