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克莱姆法则的一个新证明
引用本文:邓勇.克莱姆法则的一个新证明[J].喀什师范学院学报,2008,29(6):26-27.
作者姓名:邓勇
作者单位:喀什师范学院数学系,新疆,喀什,844007
摘    要:目前多数线性代数教材中关于线性方程组的克莱姆法则的证明都要用到代数余子式概念和行列式展开定理.而利用分块矩阵知识,很好的改进了文献3]的证明方法,得到克莱姆法则的一种更加简捷的证明.

关 键 词:线性方程组  克莱姆法则  分块矩阵  行列式

A New Proof for Cramer's Rule on Linear Equations
DENG Yong.A New Proof for Cramer''s Rule on Linear Equations[J].Journal of Kashgar Teachers College,2008,29(6):26-27.
Authors:DENG Yong
Institution:DENG Yong (Department of Mathematics and Physics, Kashgar Teachers College, Kashgar 844007, Xinjiang, China)
Abstract:In almost every introductory book on linear algebra, the proofs of Cramer's Ruler are familiar with the cofactor of a determinant or expansion theorem of a determinant. a better, simple and new proof that im-proved methods of proof than literature of 3] is given to Cramer' s Rule on linear equations by partitioned matrix.
Keywords:Linear equation  Cramer's rule  Partitioned matrix  Determinant
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