MAT-60006 Matrix Algebra, 5 cr

Additional information

This is the English version of the TUT course MAT-60000 Matriisilaskenta. The course will be lectured in English every second year.
The implementation will not be executed during the academic year 2019-2020.

Person responsible

Mika Mattila


Implementation Period Person responsible Requirements
MAT-60006 2019-01 - Mika Mattila
Final exam.

Learning Outcomes

After passing the course the student: - knows the main concepts of matrix algebra and linear algebra and is able to perform calculations and make valid conclusions. - is able to make the most important matrix decompositions and apply them. - can use Matlab as a tool of solving problems that appear in the context of matrix algebra.


Content Core content Complementary knowledge Specialist knowledge
1. Basics of linear algebra  Use of Matlab  Applications 
2. LU-decomposition and Gaussian elimination  Use of Matlab  Applications 
3. Linear algebra in n-dimensional spaces. Basis. Orthogonalisation, orthonormal basis. Change of basis. Projection matrices.  Use of Matlab  Applications 
4. Eigenvalues and eigenvectors. Spectral decomposition. Jordan's canonical form.  Use of Matlab  Applications 
5. Singular value decomposition. Matrix norm.  Use of Matlab  Applications 

Instructions for students on how to achieve the learning outcomes

Active participation in the weekly exercise sessions is very much recommended. It will also result as a significant number of bonus points that will be taken into account in the grading of the course.

Assessment scale:

Numerical evaluation scale (0-5)

Partial passing:

Completion parts must belong to the same implementation

Study material

Type Name Author ISBN URL Additional information Examination material
Book   Matrix Theory with Applications   Goldberg       McGraw-Hill   No   
Summary of lectures   Matrix Algebra 1   Seppo Pohjolainen       Home page   Yes   

Additional information about prerequisites
Basic Engineering Mathematics 1-4 or Mathetics 1-4 Courses

Correspondence of content

Course Corresponds course  Description 
MAT-60006 Matrix Algebra, 5 cr MAT-31096 Matrix Algebra 1, 5 cr  
MAT-60006 Matrix Algebra, 5 cr MAT-60000 Matrix Algebra, 5 cr  

Updated by: Ullgren Sini, 10.04.2019