Engineering Mathematics-Linear Algebra Tongji Fifth Edition (New Edition) is the fifth edition of linear algebra compiled by the Department of Mathematics of Tongji University, which is revised according to the Basic Teaching Requirements of Linear Algebra for Engineering Undergraduates (hereinafter referred to as the Basic Teaching Requirements). This revision refers to the experience and achievements in the construction of linear algebra courses and textbooks in recent years, and makes a comprehensive review and revision of the original contents. The main idea of the revision is: under the premise of meeting the basic requirements of teaching, appropriately reduce the requirements of theoretical derivation and pay attention to the matrix method of solving problems. Therefore, the proof of some theories in the book has been changed into fine print, and some examples and exercises have been adjusted.