建立行列式理论的递归方法

Developing Recursive Method for Determinant Theory

现行的非数学专业的线性代数教材中,多数以排列的逆序数为基础建立行列式理论体系或给出行列式递归法的定义,缺乏其推导过程,本文从递归定义出发建立行列式的理论体系.

In most current textbooks of linear algebra for non-mathematics major students, the determinant theory is either based on the inverse ordinal of the arrangement or providing the definition of recursive method of determinant. However, neither methods provides a strict derivation.It is desirable to develop a methodology to articulate theoretic system of determinant. This paper presents an approach to establish this theoretic system from the definition of recursion.