行列式性质三种推导形式之比较

Comparing on Three Forms of Deducing Determinantal Properties

行列式定义是分析行列式性质的基本依据,行列式定义主要存在三种形式,于是行列式性质的推导也就有三种形式.本文对这三种形式的推导过程作一比较,并从中得出一些结论,以促进教学.

The definition of determinant is the basic of analyzing determinantal properties. It mainly exists in three forms, so the deduction of determinantal properties correspondingly exists in three ones. This paper will make the induction about it. We can find some characteristics of the deduction ,which will be helpful in our teching.