摘要
利用矩阵的零空间研究两个幂等矩阵非平凡线性组合的可逆性问题,得到若干两幂等矩阵线性组合可逆的充分必要条件,部分推广了已有的结果.
The nonsingularity of linear combinations of two idempotent matrices is discussed by using null space of matrices and thus proves the necessary and sufficient conditions of nonsingularity of linear combinations of two idempotent matrices. The results are partially generalized.
出处
《钦州学院学报》
2006年第6期17-19,共3页
Journal of Qinzhou University
关键词
幂等矩阵
可逆
线性组合
idempotent matrices
nonsingularity
linear combinations of matrices
