逆矩阵的判定方法  

Mathod for Judging Inverse Matrix

作　　者：赵适红[1] 韩晶[1] 

机构地区：[1]晋城职业技术学院,山西晋城048026

出　　处：《晋城职业技术学院学报》2009年第4期89-91,94,共4页Journal of Jincheng Institute of Technology

摘　　要：判定矩阵是否可逆对矩阵的运算起着至关重要的作用。判定逆矩阵可用定义法、行列式法、初等变换法、初等矩务法、对角矩阵法、行列式性质法、线性方程组法、向量组的秩法等。Matrix,which is a very important and widely used part in mathematics,is a main subject and an important tool in researching algebra. It is used widely in mathematics, physics, economics, and other fields. A knowledge of Matrix is the basic of solving linear algebra problems. Inverting matrix plays an important role in the matrix theory and plays the role of the Inverse number in rational numbers, so judging whether the matrix has an inverting matrix is very important in Matrix operations .

关 键 词：线性方程组 矩阵 逆矩阵 初等变换 

分 类 号：O151[理学—数学]