一类行列式的求导计算法  

A Kind of Derivation Calculation Method of a Certain Determinant

作　　者：石定琴[1] 江新河 SHI Dingqin;JIANG Xinhe(College of Science,Jiujiang University,Jiujiang,Jiangxi Province,332005 China)

机构地区：[1]九江学院理学院,江西九江332005

出　　处：《科技资讯》2022年第5期185-188,共4页Science & Technology Information

基　　金：九江学院教学改革研究项目2020年课题(项目编号:XJJGYB-19-23)。

摘　　要：行列式的计算是线性代数中非常重要的问题,利用行列式的定义、性质和展开定理可以对行列式进行化简,从而算出它的值。还有一些行列式可用数学归纳法来计算,比如范德蒙行列式。范德蒙行列式在某些行列式的计算中起着非常重要的作用,缺了一行的范德蒙行列式可利用加边法来计算。该文给出了一类行列式,在范德蒙行列式的性质基础上,利用求导法和加边法,计算这类行列式。Determinant calculation is a very important problem in linear algebra.By using the definition,properties and expansion theorem of determinant,the determinant can be simplified and calculated.There are some determinants that can be calculated by mathematical induction,such as Vandermonde determinants.Vandermonde determinant plays a very important role in the calculation of some determinants.The Vandermonde determinant without one line can be calculated by the edge method.This paper gives a kind of determinant.Based on the properties of Vandermonde determinant,this kind of determinant is calculated by using derivation method and bordered method.

关 键 词：行列式 范德蒙行列式 求导法 加边法 

分 类 号：O151.22[理学—数学]