摘要
给出了矩阵或线性变换可对角化的其他判定准则,并且作为应用,给出了复正规阵可对角化以及实对称阵可实对角化的直接证明.
We give some other diagonalizable criterions for matrices or linear transforms,and as applications,give a direct proof of the results that normal matrices are diagonalizable,and real symmetric matrices are diagonalizable over the real field.
作者
谢启鸿
Xie Qi-hong(School of Mathematical Sciences, Fudan University, Shanghai 200433, China)
出处
《大学数学》
2021年第5期78-83,共6页
College Mathematics
基金
首批国家级一流本科课程建设项目。
关键词
可对角化线性变换
可对角化矩阵
复正规阵
实对称阵
diagonalizable linear transform
diagonalizable matrix
normal matrix
real symmetric matrix
