| 纯量矩阵的几个充要条件 |
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| 引用本文： | 邵逸民. 纯量矩阵的几个充要条件[J]. 高师理科学刊, 2008, 28(5) |
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| 作者姓名： | 邵逸民 |
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| 作者单位： | 苏州市职业大学,教师教育系,江苏,苏州,215104 |
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| 摘 要： | 利用矩阵乘法的可交换性、矩阵特征向量、对角化、相似标准形,给出了纯量矩阵的几个充要条件,对文献[1]的主要结论给出了一个等价命题,并提供了一种简便的证明方法.
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| 关 键 词： | 纯量矩阵 特征向量 不变因子 对角化 相似标准型 |
Several sufficient and necessary conditions of scalar matrix |
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| SHAO Yi-min. Several sufficient and necessary conditions of scalar matrix[J]. Journal of Science of Teachers＇College and University, 2008, 28(5) |
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| Authors: | SHAO Yi-min |
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| Affiliation: | SHAO Yi-min(Department of Teacher Education,Suzhou Vocational University,Suzhou 215104,China) |
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| Abstract: | Stated and proved some sufficient and necessary conditions in terms of the commutative,the eigenvector,diagonalization and the similar canonical form of n-rank square matrix to be a scalar matrix,by the simple methods proven the equivalent proposition of the main result of refferencc 1. |
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| Keywords: | scalar matrix eigenvector invariant factor diagonalization similar canonical form |
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