The book “Linear Algebra with Application to Analytical Geometry”, created by the team of authors, is a unique textbook that immerses the reader in the world of linear algebra and its applications in analytical geometry. This publication will be an indispensable assistant for both students and teachers seeking a deeper understanding of how mathematical concepts intersect with real-world problems. From the first pages of the book, the reader finds himself on a fascinating journey through the basics of linear algebra. The authors carefully explain key concepts such as vectors, matrices, systems of linear equations and their solutions. However, what makes this book particularly valuable is its emphasis on the practical application of these theories in analytic geometry. You will be able to see how abstract mathematical ideas are embodied in specific geometric problems, which makes the study more visual and understandable. The book will be of interest not only to students of mathematical and engineering specialties, but also to anyone who wants to deepen their knowledge in the field of mathematics. It is suitable for both students preparing for exams and for university students studying linear algebra as part of their program. Also, this manual can be useful for teachers who are looking for new approaches to explain complex topics to their students. The topics raised in the book cover a wide range of issues, from the basics of linear algebra to more complex concepts such as eigenvalues and eigenvectors. The authors focus on the relationship between linear algebra and analytic geometry, allowing readers to see how mathematical models can be used to solve real-world problems in various fields, such as physics, economics, and engineering. This makes the book relevant and in demand in the context of modern education, when the practical application of knowledge is becoming increasingly important. The style of presentation of the authors is distinguished by clarity and accessibility. They use many examples and tasks that help to consolidate theoretical material and develop skills in solving practical problems. The book is full of illustrations and graphics that make complex concepts more understandable and visually appealing. This approach contributes to a better assimilation of material and allows readers to navigate more easily in complex topics. If you are looking for similar works, then you should pay attention to the books of authors such as Gilbert Strang and his “Linear Algebra and Its Applications”, as well as “Linear Algebra” by Kenneth Hoffman and Raymond Koontz. These books also offer a deep understanding of linear algebra and its applications, but each has its own unique approach and style. In conclusion, “Linear Algebra with Application to Analytical Geometry” is not just a textbook, but a real find for anyone who wants to not only learn linear algebra, but also understand how it is applied in the real world. This edition will be your reliable companion in the study of mathematics, opening up new horizons of knowledge and opportunities for you. Do not miss the chance to take a step into a world where mathematics becomes the key to understanding the surrounding reality!