矩阵代数上的几种线性变换及其相互关系  

Some Linear Transformations on Matrix Algebra and Their Relations

作　　者：贾璐 姚光同 

机构地区：[1]山东工商学院数学与信息科学系,山东烟台264005

出　　处：《高等数学研究》2018年第1期41-43,共3页Studies in College Mathematics

摘　　要：本文给出了数域F上n阶矩阵空间上的几种特殊线性变换的定义,研究了这几种线性变换的关系,从而使得文献[2],[3]的结果成为本文的推论,进一步得到这些线性变换的不动点子空间基与维数.In this paper, some linear transformations are considered, and their relations are examined, which derives the results of [2] and [3]. Moreover, bases and dimensions Of fixed point spaces of these linear transformations are obtained.

关 键 词：转置变换 行转置变换 旋转变换 变换的不动点 

分 类 号：O151.21[理学—数学]