摘要
给出了矩阵相似的两个充分必要条件,讨论了相似问题中的可逆矩阵的初等变换求解方法.只要对两个矩阵的特征矩阵进行初等变换化简,就可以判断是否相似,并在相似时通过简单计算求得相应的可逆矩阵.
In this paper, two sufficient and necessary conditions for similitude of matrices are given. The method for reversible matrix in similitude with elementary transformation is studied. With the method, the similitude of the matrices and the reversible matrix can be resolved only through a series of elementary transformations on the characteristic matrices.
出处
《聊城大学学报(自然科学版)》
2009年第2期13-16,共4页
Journal of Liaocheng University:Natural Science Edition
基金
潍坊学院科研基金项目
关键词
相似
初等变换
相似变换矩阵
左值
similitude, elementary transformation, similitude transformation matrix,left value