The main idea of this revision is: under the premise of meeting the basic requirements of teaching, appropriately reduce the requirements for theoretical reasoning and pay attention to the matrix method of solving problems. Therefore, in addition to Chapter 6, some contents in Chapter 1 and Chapter 5 (for example, the knowledge of permutation and exchange introduced to prove the basic properties of determinant, the knowledge of elementary matrix introduced to prove the basic properties of matrix elementary transformation, and some theorem proofs) are changed to small print to show that they are not required reading, which is conducive to better mastering the contents stipulated in the basic teaching requirements within a limited period of time. These contents printed in small print or marked with * are selected by demanding readers. In addition, the examples and exercises have also been adjusted appropriately during the revision. This revision is still undertaken by Comrade Luo of Tongji University. With the support of the Ministry of Education of People's Republic of China (PRC) and Higher Education Press, this book has been included in the "Tenth Five-Year Plan" textbook of general higher education. At the same time, this book has also been included in the project of "Teaching Material Construction of 100 Excellent Courses in Higher Education" by Higher Education Press and the teaching material construction plan of Tongji University. I would like to express my heartfelt thanks to People's Republic of China (PRC) Ministry of Education, Higher Education Press and relevant departments of Tongji University for their concern and support for this book.
Editor's editor
June 5438, 2007+10 month