The book "Linear Algebra" by authors Ilyin V. A. and Poznyak E . G. It is a fascinating and deep dive into the world of linear algebra, one of the key disciplines in mathematics, which finds its application in a wide variety of fields - from physics to economics, from computer science to engineering. This publication will be an indispensable assistant both for students studying mathematics and for professionals seeking to refresh their knowledge or deepen their understanding of this important topic. Authors, B. A. Ilyin and E. G. Poznyak, known for his outstanding work in mathematics, offers readers not just a textbook, but a whole world of ideas and concepts that form the basis of linear algebra. The book covers a wide range of topics, from basic concepts such as vectors and matrices to more complex concepts such as eigenvalues and eigenvectors. Each section is written with clarity and accessibility, which allows the reader to easily absorb the material, even if he does not have deep knowledge in mathematics. What makes this book particularly appealing is its practical focus. The authors not only explain the theoretical aspects, but also offer many examples and tasks that help to consolidate the studied material. Readers will be able to see how linear algebra is applied to real-world problems, making learning more fun and meaningful. This is especially important for technical students who need not only to know the theory, but also to be able to apply it in practice. The book will be interesting not only for students, but also for teachers who are looking for quality material for their courses. It can be the main teaching tool for linear algebra courses at universities and colleges, as well as a useful resource for self-study. Readers interested in mathematics, physics, computer science and engineering will find in it a lot of useful knowledge and ideas. The topics raised in the book cover not only theoretical aspects, but also practical applications of linear algebra. The authors discuss how linear algebra is used in machine learning, computer graphics, image processing, and even in economic models. This makes the book relevant and in demand in the modern world, where knowledge of mathematics is becoming increasingly important. The style of Ilyin and Poznyak is clear and logical, which allows the reader to easily follow the course of thought of the authors. They use intuitive explanations and illustrative examples, which makes even the most complex concepts understandable. This quality makes their work highly valued in the academic environment. If you are looking for a book that will help you understand linear algebra, improve your skills and expand the horizons of knowledge, then Ilyin and Poznyak’s Linear Algebra is exactly what you need. Do not miss the opportunity to immerse yourself in the fascinating world of mathematics and discover its limitless possibilities. This book will be your reliable companion in the study and understanding of linear algebra, as well as open doors to the world of new knowledge and ideas.