摘要
研究了矩阵环F[A]中元素可逆的条件,讨论了矩阵环F[A]上的矩阵的初等变换与初等矩阵的性质,给出了求F[A]中可逆元的逆元的一个简便方法.
The Reversibility of a Element in the Matrix Ring F[A] is studied. The properties of elementary transformations of a matrix and elementary matrices on the Matrix Ring F[A] is discussed. With it we can obtain a simple and convenient method for the reverse element in the Matrix Ring F[A].
出处
《数学的实践与认识》
CSCD
北大核心
2008年第23期223-226,共4页
Mathematics in Practice and Theory
关键词
矩阵环F[A]
可逆元
F[A]上的矩阵
F[A]上矩阵的初等变换
matrix ring F[A]
reverse element
matrix on the Matrix Ring F[A]
elementary transformations of a matrix on the Matrix Ring F[A]
