Matrix analysis

Author: Liu Dingyou
Publisher:
Publish Date: 2003-08-07
Features: This book is specifically designed for the professional needs of master's students in engineering and the cultivation of mathematical literacy. The selection of materials is based on the natural extension of mathematical knowledge and the characteristics of professional practice, aiming for more appropriate content and a more rational structure. It considers both the systematic nature of mathematics itself and the practicality of theory and methods in engineering sciences. For this purpose, the book selects fundamental content from linear algebra basics and matrix theory and applications based on the author's years of teaching experience and the basic requirements and teaching principles of the mathematics curriculum for master's students in engineering. The part is composed of the first four chapters, including concepts related to linear algebra, linear spaces and linear transformations, similar matrices and Jordan standard forms, and inner product spaces. These are essentially supplements and deepens the content of engineering linear algebra courses and also serve as preparatory knowledge for subsequent content. They can be considered the basic content of linear algebra. The book strives to highlight several features: First, it focuses on the target audience, with a low starting point but a steep learning curve. Second, it emphasizes professional needs, supplementing the original textbook with topics such as matrix decomposition, matrix differential equations, and generalized inverse matrices to meet the professional requirements.