| 矩阵与对角形矩阵相似的条件研究 |
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| 引用本文： | 车明刚.矩阵与对角形矩阵相似的条件研究[J].甘肃联合大学学报(自然科学版),2010,24(1):112-113. |
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| 作者姓名： | 车明刚 |
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| 作者单位： | 吉林师范大学,数学学院,吉林,四平,136000 |
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| 摘 要： | 对角形矩阵是最简单的一类矩阵，而相似矩阵有相同的特征根，特征多项式，特征向量，最小多项式，初等因子．因此，研究矩阵与对角形矩阵相似的条件十分重要．本文从不同角度讨论了若干个矩阵与对角形矩阵相似的条件．
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| 关 键 词： | 矩阵相似 特征向量 特征多项式 最小多项式 不变因子 初等因子 |
The Term That Matrix is Similar to Diagonal Matrix |
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| CHE Ming-gang.The Term That Matrix is Similar to Diagonal Matrix[J].Journal of Gansu Lianhe University :Natural Sciences,2010,24(1):112-113. |
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| Authors: | CHE Ming-gang |
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| Institution: | School of Mathematics;Jilin Normal University;Siping 136000;China |
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| Abstract: | The diagonal matrix contains the same characteristic root,characteristic polynomial,elementary grade factor,Therefore,study the term that matrix is to diagonal matrix ,and then that matrix is similar to diagonal matrix,and then seems to be very important.the text enumerated the term matrix is similar to diagonal matrix. |
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| Keywords: | characteristic vector characteristic polynomial minimum polynomial constant factor elementary grade factor |
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