| 秩为1方阵的若干性质及应用 |
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| 引用本文： | 蒋岚翔.秩为1方阵的若干性质及应用[J].贵州教育学院学报,2009,25(3):15-17. |
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| 作者姓名： | 蒋岚翔 |
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| 作者单位： | 贵州大学理学院,贵州,贵阳,550025
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| 摘 要： | 利用秩为1方阵特殊矩阵结构，求解秩为1矩阵的特征值；并由其特征值的特殊性，进一步研究秩为1矩阵的特征向量、矩阵的幂、相似对角化过程的求解，最后得到一系列简化常规计算的结论。
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| 关 键 词： | 矩阵秩 特征值 特征向量 矩阵的幂 相似对角化 |
Some properties and application of rank-1 matrix |
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| JIANG Lan-xiang.Some properties and application of rank-1 matrix[J].Journal of Guizhou Educational College(Social Science Edition),2009,25(3):15-17. |
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| Authors: | JIANG Lan-xiang |
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| Institution: | College of Science;Guizhou University;Guiyang;Guizhou;550025 China |
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| Abstract: | Rank-1 matrix eigenvalue is sought by using the special matrix structure of rank-1 matrix,and from its particularity,further studies are made on the eigenvector,matrix power,similarity and diagonalizable of rank-1 matrix.Finally a series of conclusions that avoid the complicated calculation are got. |
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| Keywords: | rank of matrix eigenvalue eigenvector the power of matrix similarity and diagonalizable |
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