Abstract: The importance of the linear algebra course as a foundation course for non-math majors in science and engineering is self-evident, and it affects the impact of subsequent courses on students' learning, which may continue beyond work. In view of the problems that need to be paid attention to in the teaching of the linear algebra course, according to the situation of students, teachers should adjust the teaching contents, improve the teaching methods, give good exercises, reform the examination methods and strengthen the ideological and political education of students, so as to improve the teaching quality, training application-oriented personnel.

Key words: Llinear algebra, Blended instruction, Teaching reform, Courses, Assessment, Evaluation system