The course aims at presenting the basic concepts in Linear algebra based on the expected needs of the student in his studies in the engineering of information systems and other branches of engineering. He needs the concept of vector space to study the structure of a group for relations and processes that are defined on the elements of this group, and to see the organizational structure of this group according to the links between its elements. And to see the relationships between the vector spaces expressed by the linear transformations. We then study matrices and their relationship to linear transformations, then determinants and solving systems of linear equations. We then study Inner product spaces, rich structures in which the study of algebra is combined with the study of analysis. Finally, we study the Eigenvalues and Eigenvectors of a matrix and diagonalize a matrix, which is one of the most important issues in the practical applications, especially in finding solutions to the systems of differential equations and in the image processing and in studying the basic properties of the surfaces and curves of the second degree and others.
- General description
- Course definition document