Brief Talk on the Design of an Exercise Lesson of the Quadratic Form of Positive Definite

Quadratic form of positive definite has special place in real quadratic form of Advanced algebra.In this paper,we will provide a design of an exercise lesson on quadratic form of positive definite from four aspects:review of the concepts;judgement of the quadratic form of positive definite and the positive definite matrix;properties of the quadratic form of positive definite and the positive definite matrix and other kinds of quadratic form.And we also show the principle of how to select suitable examples and exercises by our concrete examples.