摘要
给出n维线性空间中线性变换的值域与核的直和是整个空间的充要条件.在此基础上对幂等变换与幂等矩阵的若干性质进行了研究,进而解决了涉及幂等变换与幂等矩阵的一些问题.
The necessary and sufficient conditions of the direct sum of the kernel and valued field is direct sum, the linear transform as the n-order linear space are presented, and several properties of the idempotent transform and idempotent matrix are discussed. Some issues related with the idempotent transform and idempotent matrix are sloved.
出处
《南阳师范学院学报》
CAS
2013年第6期10-13,共4页
Journal of Nanyang Normal University
基金
南阳师范学院STP课题(STP2012009)
关键词
线性变换的值域
线性变换的核
幂等变换
幂等矩阵
valued field of linear transformation
kernel of linear transform
idempotent transformation
indemp-otent matrix
