摘要
研究了复数域上两个n阶幂等矩阵(对合矩阵)P与Q的换位子PQ-QP的可逆性问题.利用一些矩阵秩的等式及幂等矩阵的性质,得出了PQ-QP可逆的几个充要条件.
This paper is a study of invertibility of the commutator of idempotent and involutory matrices. Using some rank equalities for matrices and properties of idempotents, we show several necessary and sufficient conditions for the invertibility of commutator of idempotent and involutory matrices.
出处
《湖北师范学院学报（自然科学版）》
2007年第2期11-14,共4页
Journal of Hubei Normal University(Natural Science)
关键词
幂等矩阵
对合矩阵
换位子
矩阵的秩
idempotent matrix
involutory matrix
commutator
rank of matrix
