Linear algebra. Fundamentals of theory, examples and tasks

The publication is focused on linear algebra courses for students of socio-economic and managerial specialties, as well as the corresponding sections of programs for higher mathematics of the Higher School of NiU with a more in-depth study of mathematics. The textbook covers such main sections of linear algebra as vector algebra with elements of analytical geometry, the theory of linear equations and the algebra of matrices, the theory of polynomial matrices, elements of the theory of quadratic forms, as well as basic information from the theory of linear spaces and linear operators. The assimilation of theoretical material is facilitated by the inclusion of a large number of examples and tasks in the book, including theoretical nature