利用矩阵的初等变换求方阵的特征值  

The Solution for Eigenvalues of Square Matrices with Elementary Matrices

作　　者：赵立新[1] 曾文才[1] 

机构地区：[1]华南农业大学理学院应用数学系,广州510642

出　　处：《大学数学》2004年第3期61-64,共4页College Mathematics

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.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.

关 键 词：特征值 初等变换 初等矩阵 

分 类 号：O151.2[理学—数学]