| 利用矩阵的初等变换求方阵的特征值 |
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| 引用本文： | 赵立新,曾文才.利用矩阵的初等变换求方阵的特征值[J].大学数学,2004,20(3):61-64. |
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| 作者姓名： | 赵立新 曾文才 |
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| 作者单位： | 华南农业大学,理学院,应用数学系,广州,510642;华南农业大学,理学院,应用数学系,广州,510642 |
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| 摘 要： | 高阶方阵的特征值的求得,需求解一元高次方程,这往往有一定的难度.本文依据矩阵的初等变换的一些良好性质,介绍两种利用矩阵的初等变换化简方阵的特征值的计算的方法.
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| 关 键 词： | 特征值 初等变换 初等矩阵 |
| 文章编号： | 1672-1454(2004)03-0061-04 |
| 修稿时间： | 2003年5月26日 |
The Solution for Eigenvalues of Square Matrices with Elementary Matrices |
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| ZHAO Li-xin,ZENG Wen-cai.The Solution for Eigenvalues of Square Matrices with Elementary Matrices[J].College Mathematics,2004,20(3):61-64. |
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| Authors: | ZHAO Li-xin ZENG Wen-cai |
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| Abstract: | To solve the eigenvalues of square matrices with higher order. Normally is not an easy way, as it is always related to the solution for a univariate equation with a higher order. Two methods in this article were proposed, based on the properties of the primary transformation on matrices and simplified the resolution procedure of the eigenvalues of square matrices. |
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| Keywords: | eigenvalue primary transformation elementary matrices |
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