| k-行正交矩阵的中心对称性 |
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| 引用本文： | 贾书伟,何承源,李静.k-行正交矩阵的中心对称性[J].西南师范大学学报(自然科学版),2012,37(8):1-4. |
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| 作者姓名： | 贾书伟 何承源 李静 |
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| 作者单位： | 西华大学 数学与计算机学院,成都,610039 |
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| 基金项目： | 西华大学应用数学校重点学科基金，西华大学创新基金 |
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| 摘 要： | 给出k-行正交矩阵和中心对称矩阵的概念,并着重研究了k-行正交矩阵的中心对称性,得到以下主要结论:k-行正交矩阵是中心对称矩阵;k-行正交矩阵的转置矩阵以及它的行转置和列转置矩阵都是中心对称矩阵;k-行正交矩阵的逆矩阵和伴随矩阵也是中心对称矩阵;若干个k-行正交矩阵的和仍是中心对称矩阵.
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| 关 键 词： | 行列对称矩阵 k-行正交矩阵 中心对称矩阵 对角矩阵 |
On Properties of the k-Row Orthogonal Matrix |
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| JIA Shu-wei
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HE Cheng-yuan
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LI Jing.On Properties of the k-Row Orthogonal Matrix[J].Journal of Southwest China Normal University(Natural Science),2012,37(8):1-4. |
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| Authors: | JIA Shu-wei HE Cheng-yuan LI Jing |
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| Institution: | School of Mathematics and Computer Engineering,Xihua University,Chengdu 610039,Chin |
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| Abstract: | The concepts of orthogonal matrix and symmetric matrices have been given,center symmetry of the k-row orthogonal matrix discussed before the following conclusions are drawn: k-row orthogonal matrix is a centrosymmetric matrix;k-row orthogonal matrix transposes matrix transpose rows and columns transposed matrix and its inverse matrix and the adjoint matrix are centrosymmetric matrix;orthogonal matrix of several k-rows is still the center symmetric matrix. |
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| Keywords: | ranks of the symmetric matrix k-row orthogonal matrix centrosymmetric matrix diagonal matrix |
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