| 利用特征多项式判别矩阵可逆 |
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| 引用本文： | 李晨晨,邓伟娜.利用特征多项式判别矩阵可逆[J].湖南农机,2012,39(1):125+127. |
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| 作者姓名： | 李晨晨 邓伟娜 |
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| 作者单位： | 黄淮学院数学科学系,河南驻马店,463000 |
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| 摘 要： | 矩阵与矩阵可逆性是线性代数中主要的研究对象.文章根据矩阵可逆的定义和定理,介绍了一种判定矩阵可逆的新方法:利用特征多项式来判别,即首先求出一个矩阵的特征多项式,然后根据Caylay-Hamilton定理可判别矩阵可逆.
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| 关 键 词： | 矩阵 可逆矩阵 特征多项式 |
Characteristic polynomial discriminant matrix reversible |
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| LI Chen-chen
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DENG Wei-na.Characteristic polynomial discriminant matrix reversible[J].Hunnan Agricultural Machinery,2012,39(1):125+127. |
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| Authors: | LI Chen-chen DENG Wei-na |
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| Institution: | (Department of Mathematical Sciences,Huanghuai College,Zhumadian,Henan 463000,China) |
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| Abstract: | Matrix and Matrix reversibility is the main object of study in linear algebra.The article according to the definitions and theorems of matrix reversible determine Invertible Matrix Methods:The characteristic polynomial to determine,First,calculate the characteristic polynomial of a matrix,then Caylay-Hamilton theorem can distinguish matrix reversible. |
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| Keywords: | Matrix invertible matrix characteristic polynomial |
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