General description
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.