摘要
原有ｎ阶行列式的定义，是利用排列的逆序数来定义的，有其严密性，但略显繁复，与行列式的计算联系不紧。通过利用二阶行列式提出一种较直观、构造性的定义，并引入角子式、角行列式和元积数的概念，给出了它与原有定义的一种初步的等价性证明。
The original definition of n th determinant is defined by the inverse sequence of numbers of permutation,it is rigorous but a little complex,and the related computation of determinant is rather lax.In this paper,by the use of 2nd determinant,a new but intuitive and structural definition is proposed,and the concept of angle minor,angle determinant,number of the element product are led in,and preliminary equivalence of the original definition is given.Other problems related to the new definition will be discussed afterwards.
出处
《桂林电子工业学院学报》
1998年第4期74-78,共5页
Journal of Guilin Institute of Electronic Technology
关键词
N阶行列式
角子式
角行列式
元积
元积数
n th determinant,angle minor of a determinant,angle determinant,element product,number of element product
