The book "Matrixes, determinants and systems of linear algebraic equations", written by a team of authors, is a fascinating and deep immersion in the world of linear algebra. This publication will be an indispensable assistant for students, teachers and anyone interested in mathematics, especially in the field related to solving systems of equations, matrix analysis and determinants. From the first pages, the reader is immersed in the fundamental concepts of linear algebra, which are the basis for many scientific and practical disciplines. The book covers a wide range of topics, ranging from the basic concepts of matrices to more complex aspects, such as the application of linear algebra in various fields of science and technology. It discusses in detail the methods of solving systems of linear equations, which makes it especially useful for students of technical specialties, as well as for those who are preparing for exams or want to deepen their knowledge in this field. One of the strengths of the book is its accessible and understandable style of presentation .. The authors seek to explain even the most complex concepts in a simple and clear language, which makes the material available to a wide audience. This edition is suitable for both students who are just beginning to study linear algebra, and for those who already have certain knowledge and want to systematize them or deepen their understanding of the topic. The book will be useful not only for university students, but also for students interested in mathematics, as well as teachers looking for quality material for their classes. The topics raised in the book go beyond simple theory. The authors focus on the practical application of linear algebra in real life, which makes it especially relevant in the modern world, where mathematical models and algorithms play a key role in various fields, from economics to engineering. Readers will be able to see how matrices and systems of equations are used to solve real-world problems, such as process optimization, data processing, and even artificial intelligence. The style of the authors is distinguished by thoroughness and attention to detail. Each chapter contains many examples and tasks that help to consolidate the material studied . This makes the book not only a theoretical tool, but also a practical tool for learning. Readers will be able not only to study the theory, but also to put it into practice, which is an important aspect in the study of mathematics. If you are looking for books that are similar in genre, pay attention to such works as “Linear Algebra and its Applications” by David Lyons or “