摘要
幂等矩阵及其等价条件在矩阵理论和模糊数学中都有重要应用.在已有结论基础上,将幂等矩阵的一个必要条件完善成了充要条件,并运用矩阵的降秩定理给出该问题一个新的充分性的证明方法,是对已有证明方法的补充和完善。
Idempotent matricesand its equivalent conditions play important roles in matrix theory and fuzzy mathematics. A necessary condition of idempotent matrices could be shifted to the sufficient and necessary condition,and reduced- rank theorem of matrices is applied to testify this problem sufficiently for the first time,which is a supplement and improvement to the original proof methods.
出处
《贵州师范学院学报》
2016年第3期9-10,共2页
Journal of Guizhou Education University
基金
湖北省教育厅2015年度科研计划项目(Q20156002)
郧阳师范高等专科学校重点项目(2014A02)
关键词
幂等矩阵
秩
降秩定理
idempotent matrices
rank of matrices
reduced-rank theorem