This book is divided into six chapters: determinant, matrix and its operation, elementary transformation of matrix and linear equations, linear correlation of vector groups, similar matrix and quadratic form, linear space and linear transformation. Each chapter is accompanied by a certain number of exercises, and the answers to the exercises are attached at the back of the book. Chapters 1-5 (except fine print) meet the basic requirements of teaching, and the teaching hours are about 34 hours. The contents printed in fine print from chapter 1 to chapter 5 are for readers to choose, and the sixth chapter is more scientific for majors with higher requirements for mathematics.

This book can be used by engineering students in colleges and universities, and can also be read by self-learners and scientific and technological workers.