利用特征多项式判别矩阵可逆

Characteristic polynomial discriminant matrix reversible

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。

Matrix and Matrix reversibility is the main object of study in linear algebrs. 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.