For the lack of linear Algebra teaching about computing disciplines now, the paper is expounded a teaching method with Matlab computational thinking, which to free from the boring, complex linear algebra derivation for students, and to focus on the use of Matlab tool for solving linear algebra problems with the characteristics of the discipline. This not only helps to improve students' interest in learning, but also to lay the foundation for learning practical follow-up courses. Through a semester of teaching practice and testing, t...