Research on Experimental Hierarchical Design and Effect of Matlab-Oriented Linear Algebra

With the continuous expansion of enrollment, the overall level of students in various types of colleges and universities is mixed, which brings unprecedented difficulty to the teaching of linear algebra courses, and the hierarchical teaching of linear algebra courses is imperative. In this paper, in the teaching practice of university linear algebra, the mathematical statements provided by matlab software are used to draw graphs in the linear algebra class to help students effectively understand and master the concepts, definitions, theorems and corollaries that are more difficult and abstract in the teaching of university mathematics. And through the experimental layered design, the linear algebra course is divided into four modes: student layered, teaching layered, tutoring layered and assessment layered. The results show that after the implementation of tiered teaching, the passing rate of linear algebra of students increased by 16.7936 percentage points and the good rate increased by 21.1439 percentage points. Meanwhile, applying matlab to the visualization teaching of linear algebra can improve classroom efficiency, promote students’ understanding of concepts, and cultivate students’ mathematical literacy and information technology literacy.