Linear Algebra

Cartesian products, Relations, Algebraic structures, Tables, Matrix operations, Reverse Matrix, Inverse Matrix. Determinants and their properties, Linear systems, Gauss method, Gauss - Jordan method, Systems solved with the use of inverse matrix, Cramer method, Vector spaces, Kernel and Image of linear mappings, Eigenvalues and eigenvectors, Matrix diagonalization, Applications in Informatics.

Objectives

The learning objectives of this course is to introduce students to the theory of vectors in space. Upon completion of this course the student will be able to understand the definitions and basic theorems, matrix operations and properties, the transformation matrix and has understood how these apply to examples.

Prerequisites

Non required

Syllabus

Cartesian products, Relations, Algebraic structures, Tables, Matrix operations, Reverse Matrix, Inverse Matrix. Determinants and their properties, Linear systems, Gauss method, Gauss - Jordan method, Systems solved with the use of inverse matrix, Cramer method, Vector spaces, Kernel and Image of linear mappings, Eigenvalues and eigenvectors, Matrix diagonalization, Applications in Informatics.