Matrix Theory: A Concise Tutorial

Author: Xu Zhong
Publisher:
Publish Date: 2004-01-01
Features: This book can be used as a textbook for postgraduate students in engineering disciplines at general universities and engineering master's students, as well as for senior undergraduate elective courses. It is also suitable for self-study and reference use by engineering technicians or researchers. The book is divided into seven chapters, covering topics such as matrix similarity transformations, norm theory, matrix analysis, matrix factorization, estimation and representation of eigenvalues, generalized inverse matrices, and the direct product of matrices. Each chapter is accompanied by exercises, and answers or hints are provided at the end of the book. Unlike traditional matrix theory textbooks, this book does not begin with more abstract concepts like linear spaces and linear transformations. Instead, it starts with the more concrete theory of matrix similarity transformations to introduce the main content of matrix theory, aiming to achieve a gradual learning process and enable readers to grasp a wide yet fundamental range of modern and contemporary matrix theory in a relatively short time. Readers who have completed engineering linear algebra courses can read this book.