Matrix Analysis Tutorial (Second Edition)

Author: Dong Zengfu
Publisher:
Publish Date: 2005-04-01
Features: This book comprehensively and systematically introduces the fundamental theories, operational methods, and applications of matrix theory. The book is divided into eight chapters, with the first four chapters emphasizing foundational theories, focusing on linear spaces and linear transformations, Euclidean spaces and unitary spaces, Jordan canonical forms, and the norm theory of vectors and matrices. The last four chapters focus on applications, covering matrix analysis operations, estimation of eigenvalues, the application of generalized inverse matrices in solving linear equations, and the application of matrix direct products in solving matrix equations and matrix differential equations. Each chapter is accompanied by corresponding exercises, with answers and hints provided at the end of the book. The book aims for fluent writing, detailed examples, rigorous deductions, and clear explanations, striving to enhance the mathematical proficiency and self-study abilities of graduate students in engineering. This book can serve as a textbook for matrix analysis courses for master's and doctoral students in engineering programs, as well as a reference for teachers, engineers, and researchers in related fields.