| 幂等矩阵与对合矩阵的换位子的可逆性 |
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| 引用本文： | 左可正.幂等矩阵与对合矩阵的换位子的可逆性[J].湖北师范学院学报(自然科学版),2007,27(2):11-14. |
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| 作者姓名： | 左可正 |
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| 作者单位： | 湖北师范学院,数学系,湖北,黄石,435002 |
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| 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.
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| 关 键 词： | 幂等矩阵 对合矩阵 换位子 矩阵的秩. |
| 文章编号： | 24530738 |
| 修稿时间： | 10 11 2006 12:00AM |
Invertibility of the commutator of idempotent and involutory matrices |
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| ZUO Ke-zheng.Invertibility of the commutator of idempotent and involutory matrices[J].Journal of Hubei Normal University(Natural Science),2007,27(2):11-14. |
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| Authors: | ZUO Ke-zheng |
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| Institution: | Department of Mathematics,Hubei Normal University, Huangshi 435002, China |
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| Abstract: | 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. |
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| Keywords: | idempotent matrix involutory matrix commutator rank of matrix |
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