Based on the transformation development of the university， and combined with the actual situation of bilingual teaching of linear algebra， this English textbook is written by us. In this book ， the needs of understanding and abilities of using the basic knowledge of linear algebra are presented， and interesting applications in other areas are emphasized. In addition， a powerful tool for matrix computations MATLAB which is easy to learn is introduced.The contents of this textbook are derided into 6 chapters： matrices， determinants， vector spaces， eigenvalues and eigenvectors， linear transformations and MATLAB. This book is suitable for a sophomore - level course， and it is also for people who are interested in it. It pays more attention to the theory with practice and conforms to the requirements of the development of the transformation of the university. This book is suitable for bilingual teaching of linear algebra of engineering， science （not mathematics ）， economic management and other related majors in ordinary higher institutions.
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