Course syllabus

Matrix Theory

FMA120, 6 credits, A (Second Cycle)

Valid for: 2016/17
Decided by: Education Board B
Date of Decision: 2016-03-29

General Information

Main field: Technology.
Compulsory for: Pi3
Elective for: BME4, C4-ssr, D4-bg, D4-ssr, E4-bg, E4-ra, F4, F4-tf, F4-bs, F4-bg, F4-r, F4-ss
Language of instruction: The course will be given in English on demand


The main aim of the course is to convey knowledge about concepts and methods from matrix theory and linear algebra which are important in applications within many subjects in technology, science and economy, and familiarity with their use.  In addition, the course should develop the student's ability in general to assimilate and communicate mathematical theory and to solve problems. Furthermore, the course should strengthen the student's ability in mathematical programming.

Learning outcomes

Knowledge and understanding
For a passing grade the student must



Competences and skills
For a passing grade the 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.

Examination details

Grading scale: TH
Assessment: Written and/or oral test, to be decided by the examiner. Two minor computer projects should be completed before the exam.


Admission requirements:

Required prior knowledge: FMAF05 Systems and Transforms, or similar.
The number of participants is limited to: No
The course overlaps following course/s: FMA121

Reading list

Contact and other information

Course coordinator: Studierektor Anders Holst,
Teacher: Victor Ufnarovski,
Course homepage: