Linear algebra. Tasks with solutions. Tutorial

This textbook includes sections of linear algebra included in the curriculum in the disciplines "Higher Mathematics" and "Mathematics" for students studying in economic, biological, agricultural, a number of technical and other specialties of universities. The book discusses very important topics of linear algebra: matrices, determinants, systems of linear equations, systems of linear inequalities with two variables, and - measured vectors and l - measured vector spaces.
The book contains a table of table, 4 chapters, answers to the tasks included in the control tasks, the list of literature. Each chapter contains theoretical information bearing a reference character, and typical tasks with detailed solutions. In total, the book contains 140 tasks and solutions to them. The tasks associated with geometric constructions are given illustrations that reflect the results of the decisions obtained. Disarmed solutions to problems will help students better learn the linear algebra and acquire the skills of independent study of the subject. Each chapter has tasks that can be used to compose control tasks for students, as well as for independent solving students in order to verify how well the studied issues have been learned.
In this textbook, algorithms for solving a number of main problems are formulated: finding the rank of matrix, reverse matrix, solving systems of linear equations with N unknowns (at m> n, m Chapter 4 shows the author’s tasks and solve these problems that will allow students to get acquainted with some application algebra in the economy, linear and nonlinear programming, in mathematical analysis, probabilities, when solving engineering and other practical problems. When compiling the tasks of the fourth chapter, the author used experimental data published in the scientific literature.
is intended for students of universities students in economic, biological, engineering, agricultural and a number of other specialties. This textbook can be used by students studying linear algebra with a different number of training hours allocated to the topics contained in it in mathematics programs. The material considered in the manual that does not enter the curriculum of students studying in specialties with a small number of educational hours in mathematics can be lowered by students without prejudice to understanding other questions included in this textbook. The book may also be useful to university teachers