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 similarity transformations of matrices, norm theory, matrix analysis, matrix factorization, estimation and representation of eigenvalues, generalized inverse matrices, the Kronecker 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 begin with the more abstract concepts of linear spaces and linear transformations but instead starts with the more concrete theory of matrix similarity transformations to introduce the main content of matrix theory, aiming to achieve a gradual and in-depth understanding. This approach enables 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.