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031078P Matrix Algebra, 5 ECTS cr 
Code 031078P  Validity 01.08.2015 -
Name Matrix Algebra  Abbreviation Matrix Algebra 
Scope5 ECTS cr   
TypeBasic Studies Discipline4338 Engineering Mathematics 
  Grading1 - 5, pass, fail 
Unit Applied Mathematics and Computational Mathematics 

Matti Peltola 

ECTS Credits 

5 ECTS credits / 135 hours of work

Language of instruction 



The course is held in the autumn, during period 2. It is recommended to complete the course at the 1th autumn  semester.

Learning outcomes 

The student  is able to apply arithmetic operations of matrices and  can solve system of linear equations by matrix methods and can apply matrix factorizations  to find the solution of the system of linear equations.

The student is able to recognize the vector space and understands the concepts of basis and dimension of  a vector space and can analyse matrices by the parameters, vectors and vector spaces of matrices. He/She knows how to calculate determinant, eigenvalues and eigenvectors of a square matrix, and is able to diagonalize matrices and apply diagonalization to the simple problems.


1. Vectors and matrices 2. Systems of linear equations. 3. Matrix factorizations. 4. Vector spaces. 5. The rank, nullity, row space and the column space of a matrix. 6. The determinant of a matrix. 7. Eigenvalues and eigenvectors of a matrix. 8. The diagonalization with applications.

Mode of delivery 

Face-to-face teaching

Learning activities and teaching methods 

Lectures 28 h / Group work 22 h / Self-study 85 h.

Target group 

1. year students of technical sciences, mathematics and physics.

Prerequisites and co-requisites 


Recommended optional programme components 


Recommended or required reading 

Recommented literature: Grossman, S.I: Elementary Linear Algebra; David C. Lay: Linear Algebra and Its Applications.

Assessment methods and criteria 

The course can be completed by intermediate exams (2 exams) or by a final exam.

Read more about assessment criteria at the University of Oulu webpage.


The course utilizes a numerical grading scale 0-5. In the numerical scale zero stands for a fail

Person responsible 

Matti Peltola

Working life cooperation 


Other information 



Current and future instruction
Functions Name Type ECTS cr Teacher Schedule
registration period has not begun Matrix Algebra  Course  Matti Peltola  27.10.20 -17.12.20

Future examinations
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