| 基于矩阵的特征多项式与最小多项式相关的探讨 |
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| 引用本文： | 陕振沛,姚景景,陈华平.基于矩阵的特征多项式与最小多项式相关的探讨[J].六盘水师范高等专科学校学报,2013(5):55-56. |
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| 作者姓名： | 陕振沛 姚景景 陈华平 |
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| 作者单位： | 六盘水师范学院数学系,六盘水553001 |
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| 摘 要： | 特征多项式是多项式和线性代数联系的纽带，是高等代数学习中重点和难点。从矩阵的特征多项式与最小多项式的定义出发，基于它们的最基本性质，对两者之间的关系进行了分析探讨并得到了一些有益的结论。
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| 关 键 词： | 矩阵 特征多项式 最小多项式 |
Related Discussion Based on the Characteristic Polynomial of Matrix and the Minimum Polynomial |
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| SHAN Zhen-pei; YAO Jing-jing; CHEN Hua-ping.Related Discussion Based on the Characteristic Polynomial of Matrix and the Minimum Polynomial[J].Journal of Liupanshui Teachers College,2013(5):55-56. |
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| Authors: | SHAN Zhen-pei; YAO Jing-jing; CHEN Hua-ping |
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| Institution: | SHAN Zhen-pei; YAO Jing-jing; CHEN Hua-ping ( Department of Mathematics,Liupanshui Normal University, Liupanshui 553001 ,China) |
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| Abstract: | Characteristics of polynomial is polynomial and linear algebra.It is a key point and difficult section in higher algebra. It combine with the minimal polynomial and often becomes mathematics graduate entrance examination of the difficulties and focus. Starting from the characteristic polynomial of matrix and the defini- tion of minimal polynomial based on their basic properties,the present paper analyzes the relationship be- tween the two is discussed and some useful conclusions are obtained. |
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| Keywords: | matrix characteristic polynomial minimal polynomial |
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