| 反中心对称矩阵的性质 |
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| 引用本文： | 吴险峰,张晓林. 反中心对称矩阵的性质[J]. 高师理科学刊, 2011, 31(6): 3-5. DOI: 10.3969/j.issn.1007-9831.2011.06.002 |
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| 作者姓名： | 吴险峰 张晓林 |
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| 作者单位： | 1. 齐齐哈尔大学理学院,黑龙江齐齐哈尔,161006
2. 齐齐哈尔市实验中学,黑龙江齐齐哈尔,161006 |
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| 基金项目： | 黑龙江省教育厅科学技术研究项目(11551542); 齐齐哈尔大学青年教师科学技术类科研启动支持计划项目(2010K-M33) |
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| 摘 要： | 研究了反中心对称矩阵的迹、行列式、可逆性、伴随矩阵的性质.得到奇数阶反中心对称矩阵一定不可逆的结论,并给出偶数阶反中心对称矩阵可逆的充要条件和逆矩阵的形式.
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| 关 键 词： | 反中心对称矩阵 迹 行列式 逆矩阵 |
Some properties of centre skew symmetric matrix |
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| WU Xian-feng,ZHANG Xiao-lin. Some properties of centre skew symmetric matrix[J]. Journal of Science of Teachers＇College and University, 2011, 31(6): 3-5. DOI: 10.3969/j.issn.1007-9831.2011.06.002 |
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| Authors: | WU Xian-feng ZHANG Xiao-lin |
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| Affiliation: | WU Xian-feng1,ZHANG Xiao-lin2(1.School of Science,Qiqihar University,Qiqihar 161006,China,2.Experimental Middle School of Qiqihar,China) |
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| Abstract: | Studied some properties on trace,determinant,invertibility,adjoint matrix of centre skew symmetric matrix.Obtained the conclusion that odd-order centre skew symmetric matrix is not invertible,gave necessary and sufficient condition for the invertible of even-order centre skew symmetric matrix and the form of its inverse matrix. |
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| Keywords: | centre skew symmetric matrix trace determinant inverse matrix |
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