To provide students in computer sciences with an basic knowledge of vectors and matrices and their application in the field of informatics. To learn the concepts and methods of linear algebra and how they can be applied in solving computational problems that arise in computer science. After passing the exam of this course the students should be able to perform standard operations on matrices, to solve and give interpretation of the solution of the system of linear equations, describe the main properties of finitely dimensional vector spaces and linear transformation and apply the method of linear algebra for modeling and solving problems in computer sciences.