Introduction to Linear Algebra

Author: Guo Yuqi
Publisher:
Publish Date: 2001-05-01
Features: This book is a textbook for advanced algebra courses in the 21st century and a research outcome of the "Higher Education Textbook Content and Curriculum System Reform Program for the 21st Century." It is suitable for faculty and students of mathematics departments in higher education institutions as well as related mathematicians. The book is divided into two parts. The first part primarily introduces matrix algebra, determinants, linear spaces, symmetric bilinear metric spaces, Euclidean spaces, etc. The second part covers linear transformations, a class of direct sum decompositions of linear spaces with respect to linear transformations, orthogonal and symmetric transformations, and the canonical form of similar matrices. The entire book consists of nine chapters, each followed by a sufficient number of exercises. Several "Notes" are provided in each chapter, which are basically suitable for use in exercise classes. The main feature of this book is the emphasis on "linear dependence" and its throughout the entire text. In the specific development of theory, many unique methods and techniques are employed.