与反对称矩阵可交换的对称矩阵 |
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引用本文: | 王春艳,李立,魏蕴波.与反对称矩阵可交换的对称矩阵[J].齐齐哈尔轻工业学院学报,2011(6):79-82. |
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作者姓名: | 王春艳 李立 魏蕴波 |
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作者单位: | 齐齐哈尔大学理学院,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研启动支持计划项目(2010K-M33) |
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摘 要: | 通过引入反对称矩阵的导出矩阵和次导出矩阵的概念,给出n阶反对称矩阵与n阶对称矩阵可交换的充要条件,利用导出矩阵和次导出矩阵的秩,对3阶反对称矩阵进行分类。
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关 键 词: | 反对称矩阵 对称矩阵 交换性 导出矩阵 次导出矩阵 |
Symmetric matrices which are commutative with anti-symmetric matrices |
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Authors: | WANG Chun-yan LI Li WEI Yun-bo |
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Affiliation: | (College of Science,Qiqihar University,Heilongjiang Qiqihar 161006,China) |
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Abstract: | In this paper,we introduce the concepts of the induced matrix and sub-induced matrix of an anti-symmetric matrix,and give two equivalent conditions that an n-order anti-symmetric matrix and an n-order symmetric matrix are commutative.At last,using the ranks of induced matrix and sub-induced matrix,we give a partition of 3-order anti-symmetric matrices. |
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Keywords: | anti-symmetric matrix symmetric matrix commutativity induced matrix sub-induced matrix |
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