A new approach to constructing the theory of determinants
In this paper,a new method for introducing the concept of determinants is proposed,as well as new proof methods for determinant properties and Cramer's Rule.These results make the theory of de-terminants more concise and easier to teach and learn,more meaningful in cultivating students'abilities for independent thinking and scientific research.This article provides a good example for the reform of mathe-matics textbooks.