Matrix Theory: A Concise Course - Second Edition

Author: Xu Zhong
Publisher:
Publish Date: 2005-01-01
Features: This book is divided into 8 chapters, introducing similar transformations of matrices, norm theory, matrix analysis, matrix factorization, estimation and representation of eigenvalues, generalized inverse matrices, the direct product of matrices, and linear spaces and linear transformations. Each chapter is accompanied by exercises, and solutions or hints are provided at the end of the book. Unlike traditional matrix theory textbooks, this book does not start with the more abstract concepts of linear spaces and linear transformations but instead uses the more concrete theory of matrix similar transformations as a foundation to introduce the main content of matrix theory, aiming to achieve a gradual and in-depth understanding. This allows readers to grasp a wide yet fundamental range of modern and contemporary matrix theory in a relatively short time. Readers who have completed undergraduate courses in engineering linear algebra can read this book.