摘要
给出数域F上线性空间(不一定是有限维的)的线性变换是对合变换与幂等变换的几个等价描述.作为其推论,得到数域F上n阶方阵是对合矩阵与幂等矩阵的几个等价描述.
The several equivalent representations for involutory transformation and idempotent transformation in linear space(including infinite dimensional) are given.As corollaries of these results,several equivalent descriptions for involutory matrix and idempotent matrix are obtained.
出处
《烟台师范学院学报（自然科学版）》
2004年第1期4-5,共2页
Yantai Teachers University journal(Natural Science Edition)
关键词
线性空间
幂等变换
对合变换
直和
特征子空间
linear space
idempotert transformation
involutory transformation
direct sum
characteristic subspace
