Linear algebra and analytical geometry. Zolotarevskaya D.I.

This textbook includes all issues included in the curricula of those specialties of universities in which “linear algebra and analytical geometry” is studied as an independent discipline (for specialties: applied mathematics, applied informatics, information technology, etc.). The book contains very important topics of linear algebra: matrices, determinants, systems of linear equations, N-dimensions and N-dimensional vector spaces, linear spaces, Euclidean space, functions in linear space (linear operators, linear, bilinear and quadratic forms) and The main topics of analytical geometry. The training manual discusses the main geometric objects: points, lines, vectors, flat figures, surfaces, bodies (cylinders, cones, etc.), unmarled areas on the plane and in space. The properties of these objects and their position in space are studied by algebra means based on the use of the coordinate method. Mathematical models of lines on the plane and space, surfaces and other geometric objects are given and justified: algebraic equations and systems of equations, inequality and their system. The presentation of theoretical material on all topics is accompanied by detailed solutions of various examples of varying degrees of complexity. Explanations are given in an accessible form for students. The drawings given in the book help to learn the basic concepts of analytical geometry and linear algebra and solutions to the examples considered. Designed for university students, whose curricula includes mathematical disciplines. This textbook can use students studying linear algebra and analytical geometry with a different number of training hours diverted in it in it in mathematics programs, in particular, when studying linear algebra and analytical geometry in higher mathematics courses. 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 issues included in this textbook. The book may be useful to university teachers.