Course syllabus

Matrix Theory

FMAN70, 6 credits, A (Second Cycle)

Valid for: 2020/21
Decided by: PLED F/Pi
Date of Decision: 2020-04-01

General Information

Main field: Technology.
Compulsory for: Pi3
Elective for: BME4, C4, D4-bg, D4-ssr, E4-ra, F4, F4-tf, F4-bs, F4-bg, F4-r, F4-mai, I4
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 - (U,3,4,5) - (Fail, Three, Four, Five)
Assessment: Take-home exam followed by an oral exam. Two minor computer projects should be completed before the exam.

The examiner, in consultation with Disability Support Services, may deviate from the regular form of examination in order to provide a permanently disabled student with a form of examination equivalent to that of a student without a disability.


Admission requirements:

Assumed prior knowledge: FMAF05 Systems and Transforms or FMAF10 Applied Mathematics - Linear systems.
The number of participants is limited to: No
The course overlaps following course/s: FMA120, FMA121, MATC70

Reading list

Contact and other information

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