This book introduces the concepts and techniques of linear algebra， including systems of linear equations， determinants， matrices， vectors， eigenvalues， eigenvectors and similar matrices. In addition， some topics in applied linear algebra are also provided. Each chapter is followed by plentiful exercises along with reference answers. This book aims not only to help students understand basic definitions and theorems， but to introduce to them how to solve linear algebra problems with MATLAB. The goal is to give the freshman students a solid understanding of the basic ideas， as well as an appreciation of how they are used in real world applications and how Linear Algebra is a rigorous mathematical subject itself.

This book is suitable for bilingual teaching and can serve as English teaching materials for international students studying in China. It can also be used as a textbook for Linear Algebra course for English majors， as well as a reading reference book for students majoring in applied mathematics， and information and computing science.