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This textbook on linear algebra is designed for university students in economics, biology, agriculture, and various technical fields. It covers core topics including matrices, determinants, systems of linear equations, systems of linear inequalities with two variables, and n-dimensional vectors and vector spaces.
The book is structured into four chapters, each offering theoretical reference material followed by typical problems with detailed solutions. In total, the book contains 140 problems and their solutions. Illustrations accompany problems involving geometric constructions to visually represent the results. The guide also includes answers to tasks in the control assignments and a list of references.
Each chapter features problems that can be used to create control assignments for students or for self-study to check understanding. The textbook formulates algorithms for solving key problems, such as finding the rank of a matrix, calculating the inverse matrix, and solving systems of m linear equations with n unknowns. The detailed solution breakdowns aim to help students grasp linear algebra concepts and develop independent study skills.
