| 幂等矩阵线性组合可逆性的若干条件 |
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| 引用本文： | 山军. 幂等矩阵线性组合可逆性的若干条件[J]. 钦州学院学报, 2006, 21(6): 17-19 |
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| 作者姓名： | 山军 |
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| 作者单位： | 武汉职业技术学院,计算机系,湖北,武汉,430074 |
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| 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．
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| 关 键 词： | 幂等矩阵 可逆 线性组合 |
| 文章编号： | 1673-8314（2006）06-0017-03 |
| 收稿时间： | 2006-10-25 |
| 修稿时间： | 2006-10-25 |
Some Conditions of Nonsingularity of Linear Combinations of Idempotent Matrices |
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| SHAN Jun. Some Conditions of Nonsingularity of Linear Combinations of Idempotent Matrices[J]. Journal of Qinzhou University, 2006, 21(6): 17-19 |
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| Authors: | SHAN Jun |
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| Affiliation: | Computer Department of Wuhan Professional and Technology College, Wuhan 430074, China |
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| Abstract: | 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. |
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| Keywords: | idempotent matrices nonsingularity linear combinations of matrices |
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