摘要
主要介绍了矩阵的初等变换不改变矩阵的可逆性和矩阵的秩,初等行变换不改变线性方程组的解的结构和向量之间的线性相关性.同时,通过几个例子介绍了初等变换在求矩阵的逆等方面的应用.
This paper presents that elementary transformation do not change inverse and rank of matrix,and elementary row transformation also do not change the solutions of linear equations and linear relations among vector.Simultaneity,this paper introduces the applications of elementary row transformation infinding inverse of matrix and so on by several examples.
出处
《鞍山师范学院学报》
2010年第4期9-11,共3页
Journal of Anshan Normal University
基金
科技部创新方法专项资助(2009IM010400-1-39)
关键词
初等变换
逆矩阵
矩阵的秩
线性相关
线性无关
Elementary transformation
Inverse matrix
Rank of matrix
linear correlation
Linear independence
