2023-2024 / MATH2011-1

Linear algebra supplements


30h Th, 20h Pr

Number of credits

 Bachelor in mathematics5 crédits 


Laurent Loosveldt

Language(s) of instruction

French language

Organisation and examination

Teaching in the first semester, review in January


Schedule online

Units courses prerequisite and corequisite

Prerequisite or corequisite units are presented within each program

Learning unit contents

There are 3 main chapters:

1) Jordan's canonical form : nilpotent endomorphisms, general case, minimal polynomial and applications to linear recurrence equations and matrix exponential.

2) Bilinear algebra : bilinear form, matrix representation, rank and kernels, symmetric bilinear forms and quadratic forms, orthogonality, Gauss algorithm and signature, prehilbertian spaces. 

3) Multilinear algebra : multilinear forms, alternating multilinear forms, exterior product and determinant.

Learning outcomes of the learning unit

This teaching is a natural sequel to the first bloc correspondent teaching.

Prerequisite knowledge and skills

Basic linear algebra as taught in the first bloc.

Planned learning activities and teaching methods

Exercices and theory, though taught separetely, illustrate each other.

Mode of delivery (face to face, distance learning, hybrid learning)

Face-to-face course

Additional information:

First semester ex cathedra teaching, at the Institute of Mathematics.

Recommended or required readings

The syllabus is available on the platform eCampus.

Exam(s) in session

Any session

- In-person

written exam AND oral exam

Additional information:

An oral and a written examinations of theory and exercises will be organized. 

Work placement(s)

Organisational remarks and main changes to the course


Laurent Loosveldt

Email : l.loosveldt@uliege.be 

Department of Mathematics,
Allée de la Découverte, 12, B37,
4000 Liège Belgium
Office 0/59

You can also contact France Gheeraert

E-mail : france.gheeraert@uliege.be

Association of one or more MOOCs