计算方阵特征向量余子式展开法

Calculation of the Eigenvector of a Square Matrix by the Expanding Cofactor

本文对单纯形矩阵A在具有相异或重复特征值情况下,从分析特征矩阵[A-λI]结构中提出了一种利用余子式展开求取特征向量的方法,计算简洁。

In this paper,the structure of characteristic matrix[A-SI]is analyzed on condi- tion that a simple matrix A has the distinct or repeated eigenvalues.Therefore,a method of finding eigenvector by the expanding cofactor is presented.This method is simple for calculation.