Linear Algebra is an important basic theory course in the teaching plan of higher engineering schools. It is a mathematical tool widely used in all fields of natural science and engineering technology. With the rapid development of modern science and technology and the extensive application of computer, the importance of Linear Algebra in theory and application is more prominent. This puts forward higher request to the Linear Algebra teaching content from the depth and the breadth.Linear Algebra is given priority to in order to discuss the finite dimensional linear space theory courses, with strong abstractness and logical. Since the application of Linear Algebra has gone deep into the fields of natural science, social science, engineering technology, economy, management and so on. Therefore, of course, Linear Algebra should be combined with simple discretization methods, it should be combined with the simple use of computers to solve mathematical problems. Therefore, in this book, we