| k次幂等矩阵和矩阵的正交性 |
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| 引用本文： | 金慧萍,吴妙仙.k次幂等矩阵和矩阵的正交性[J].茂名学院学报,2010,20(1):55-57. |
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| 作者姓名： | 金慧萍 吴妙仙 |
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| 作者单位： | 1. 义乌工商职业技术学院,教务处,浙江,义乌,322000
2. 浙江广厦职业技术学院,浙江,东阳,322100 |
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| 摘 要： | 通过对k次幂等矩阵的讨论，证明了在代数等价之下的幂等矩阵有相同的特征值，给出了用矩阵的代数等价来刻划幂等矩阵的正交性。同时，也给出了幂等矩阵的秩刻划，推广了二次和三次幂等矩阵秩的相关结果。
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| 关 键 词： | 幂等矩阵 代数等价 正交性 |
K Degree Idempotent Matrix and the Orthogonality of Idempotent Matrix |
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| JIN Hui-ping,WU Miao-xian.K Degree Idempotent Matrix and the Orthogonality of Idempotent Matrix[J].Journal of Maoming College,2010,20(1):55-57. |
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| Authors: | JIN Hui-ping WU Miao-xian |
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| Institution: | JIN Hui-ping1,WU Miao-xian2(1.Yiwu Industrial , Commercial College,Yiwu 322000,China,2.Zhejiang Guangsha College of Applied Construction Technology,Dongyang 322100,China) |
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| Abstract: | Some properties on k degree idempotent matrixes are discussed and they are proved to have the same characteristic values under the algebraically equivalent.At the same time the orthogonality of idempotent matrixes is also described with algebraically equivalent.Furthermore,a characterization about the rank of idempotent matrixes is presented,which popularizes the results when k = 2 and 3. |
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| Keywords: | idempotent matrixes algebraically equivalent orthogonality |
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