摘要
(m,l)幂等矩阵是m幂等矩阵和m幂幺矩阵概念的整合.研究利用与单位根相关矩阵1次幂的秩等式判定n阶方阵A是(m,l)幂等矩阵的另一充要条件,给出(m,l)幂等矩阵的相似标准形并利用其标准形得到它的迹的矩阵秩表示式.
The concept of（m,l） idempotent matrices is an integration of m idempotent matrices and m unit-potent matrices.In this paper,a new necessary and sufficient condition to discriminate（m,l） idempotent matrices by using an equation associated with ranks of series matrices,which related to unit roots is given,the similar canonical form of（m,l） idempotent matrices is presented,and a formula for the trace of a matrix expressed in rank of matrices is obtained.
出处
《曲阜师范大学学报（自然科学版）》
CAS
2012年第2期37-40,共4页
Journal of Qufu Normal University(Natural Science)
关键词
(m
l)幂等矩阵
幂幺矩阵
解空间
矩阵秩
idempotent matrix
unit-potent matrix
solution space
rank of matrix
