Généralités

Students generally seek simplified references to understand the mathematical concepts they

have learned in a way that suits their scientific abilities. Therefore, we provided them with this

courses, which contains lessons and corrected exercises compatible with the curriculum of the

Ministry of Higher Education and Scientific Research.

This course is composed of four chapters:

1. Vector spaces.

2. Linear applications.

3. Matrices.

4. Solving systems of equations.

To fully understand this content, the reader should be familiar with concepts related to

algebraic structures (groups, rings, and fields).

At the end of each chapter, the reader will find a series of exercises with detailed answers.

This course was presented to students at Djilali Bounˆaama University in Khemis Miliana,

Ain Defla, Algeria.