Linear algebra and linear programming: Textbook

The manual sets out issues of the theory of linear algebra to solve systems of linear algebraic equations and linear programming as part of the course of higher mathematics for technical universities. The manual contains the basic theoretical provisions of linear algebra and some of its practical applications, such as matrix calculus of vector algebra and analytical geometry in a three -dimensional and two -dimensional Euclidean space, which allows you to solve practical engineering problems. Much attention is paid to the consideration of quadratic forms and their geometric illustration. In addition, this manual considers such an interesting application of linear algebra as linear programming, with which optimization tasks are solved.
Some physical, engineering and even economic applications of linear algebra are also given, which is important for students to understand the world around him. The manual was built in the form of lectures and practical classes, contains solutions to typical examples, and it includes a large set of typical individual tasks for independent work.
The publication is intended for first-year students studying in the areas of training included in the UGC: "Mathematics and Mechanics"," Computer and Information Sciences", "Informatics and Computing Technics"," Information Security "," Physical and Technical Sciences and technologies", and other physical, mathematical and engineering and technical areas of training and specialties