一类行列式恒等式的证明及应用  

Certification and application of identities determinant

作　　者：葛斌[1] 徐新军 

机构地区：[1]哈尔滨工程大学理学院,哈尔滨150001

出　　处：《哈尔滨商业大学学报（自然科学版）》2008年第5期592-595,599,共5页Journal of Harbin University of Commerce：Natural Sciences Edition

基　　金：哈尔滨工程大学基础资金资助(002110260740)

摘　　要：给出了二、三阶行列式恒等式.利用行列式的定义和数学归纳法两种方法给出证明.在一定条件应用恒等式去计算一些行列式和解线性方程组.一方面,从新的角度探讨了行列式自身的性质;另一方面,为快速计算带有字母的行列式(符号运算)提供了新的方法.其结果不能够包含在已有的经典方法中,补充了已有的结果.The second and third-order determinant identities is given in this paper, which is proved by the definition and mathematical induction method. The determinant identities can be applied to calculate identities determinant some reconciliation of linear equations in certain conditions. This paper discusses the nature of determinant from a new perspective, and provides a new approach to rapidly calculate of the determinant with the letter （ symbol operator）. The result unable to be included in the classic method, so it added the existed results.

关 键 词：行列式 恒等式 计算 应用 

分 类 号：O13[理学—数学]