| 有理数域Q上的矩阵为周期矩阵的一种简易判别法 |
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| 引用本文： | 罗江.有理数域Q上的矩阵为周期矩阵的一种简易判别法[J].黔东南民族师专学报,2009(6):8-10. |
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| 作者姓名： | 罗江 |
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| 作者单位： | 凯里学院理学院,贵州凯里556011 |
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| 基金项目： | 凯里学院2007年规划课题（Z0702）;凯里学院基础数学重点学科资助项目（KZD2009001）. |
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| 摘 要： | 对有理数域Q上矩阵的周期性的研究，得到了其为周期矩阵的一个充分条件，并由此给出了有理数域Q上的矩阵为周期矩阵的一种简易判别法，此法避开了繁难的求特征值和每个特征值的特征向量来判定矩阵能否对角化的过程．
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| 关 键 词： | 有理数域 特征值 矩阵 周期 |
A simple discriminance on the matrix of rational number field Q to cycle matrix |
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| LUO Jiang.A simple discriminance on the matrix of rational number field Q to cycle matrix[J].Journal of Southeast Guizhou National Teachers College,2009(6):8-10. |
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| Authors: | LUO Jiang |
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| Institution: | LUO Jiang (School of Mathematics and Physics, KaiLi University, KaiLi GuiZhou 556011 China) |
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| Abstract: | The paper pass the research of matrix＇s cycle in the rational number field Q , find a sufficient condition of the cycle matrix, and thus give a simple discriminance on the matrix of rational number field Q to cycle matrix. This method avoid to seek involuted eigenvalue and eigenvector of each eigenvalue to determine the process of whether diagonal matrix, so as to achieve a good results of reducing computation and taking from calculating the difficulty. |
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| Keywords: | rational number field Eigenvalue matrix cycle |
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