Basics of Linear Algebra and Analytical Geometry: A Tutorial, edited by D. Z. Ilyazova is not just a textbook, but a real find for students, graduate students and anyone who seeks a deeper understanding of the world of mathematical structures and geometric concepts. This work combines theoretical foundations and practical aspects, which makes it an indispensable assistant in the study of these important sections of mathematics. The book focuses on key concepts of linear algebra, such as vectors, matrices, systems of linear equations and their solutions. The author’s team has carefully worked out the material to make it accessible and understandable to readers, regardless of their level of preparation. Thanks to clear explanations and a lot of examples, readers will be able not only to learn the theory, but also to learn how to apply the knowledge gained in practice. Analytical geometry, in turn, opens doors for the reader to the world of spatial figures and their properties. Topics such as equations of lines and planes, as well as their interrelation., are considered here. This manual will be an excellent help for those who want to learn how to visualize mathematical concepts and apply them to real-world problems, whether in engineering, physics or even economics. The book will be of interest not only to students of technical specialties, but also to those who are fond of mathematics in general. It is suitable both for self-study and for use in the educational process. The manual will be an excellent addition to the course in linear algebra and analytical geometry, as well as help to prepare for exams and test papers. The topics raised in the book go beyond the traditional study of mathematics. The authors focus on the practical application of linear algebra and analytical geometry in various fields of science and technology. This makes the material particularly relevant in today's world, where mathematical knowledge is becoming increasingly in demand. Readers will be able to see how theoretical concepts find their application in areas such as computer graphics, machine learning, and even economics. The style of presentation of the authors is characterized by accessibility and consistency. Each section is designed so that the reader can easily move from simple concepts to more complex ones. This allows not only to learn the material, but also to develop analytical thinking, which is an important skill in any field. If you are looking for books on linear algebra and analytic geometry, then “Basics of linear algebra and analytical geometry” is exactly what you need. It will become your reliable companion in the study of mathematics, will help you understand complex topics and will give you the opportunity to learn how to apply knowledge in practice. Don’t miss the chance to immerse yourself in the fascinating world of linear algebra and analytic geometry with this tutorial. It will be your faithful assistant on the way to success in studies and careers .. Read, explore and discover new horizons with D. Z. Iliazova and her team of authors!