The book “Linear Algebra in the Theory of Measurement Equations” is a unique publication created by a team of authors that immerses the reader in the world of mathematical theory, where linear algebra becomes the basis for solving complex problems in the field of measurements. This work is not just a textbook, but a real find for those who seek a deeper understanding of how mathematical concepts can be applied to real-world problems. The book focuses on the theory of equalization of measurements, which plays a key role in various scientific and engineering disciplines. The authors offer readers not only theoretical foundations, but also practical examples that illustrate how linear algebra can be used for data analysis and processing. This makes the book particularly valuable for students, graduate students, and professionals working in fields related to mathematics, physics, engineering, and statistics. The book is suitable for a wide audience .. Students studying mathematics or engineering sciences will find it useful materials for their courses. Researchers and practitioners working with the data will be able to use the proposed methods to improve their projects and research. Even those who are simply interested in mathematics and its applications in real life will be able to find in this edition a lot of interesting and useful. One of the key topics raised in the book is the importance of linear algebra in modern computational methods. The authors show how basic concepts, such as vectors, matrices and linear transformations, can be applied to solve problems related to the equation of measurements. This not only expands the horizons of the reader’s understanding, but also demonstrates how mathematics can be a powerful tool for solving practical problems. The style of the authors is distinguished by clarity and accessibility, which makes it easy to assimilate even the most complex concepts. Each section of the book is logically structured, which helps the reader gradually delve into the material. The authors use many examples and tasks, which makes the learning process interactive and exciting. This is especially important for those who may have difficulty perceiving abstract mathematical ideas. If you are familiar with other works in the field of linear algebra, such as "Linear Algebra and its Applications" by David Lyons or "