摘要
本文通过解非齐次线性方程组给出了求特征多项式系数的一般方法,从而解决了因含有参数而不易求得特征多项式一般形式的问题。另外.利用哈密顿-凯莱定理,本文还给出了一个逆阵存在的判定定理和求道阵的一个方法.
A common method to work out the coefficient of characteristic polynomial is given by means of an inhomogeneous linear equation system so as to solve the probiem of the common expression whosc characteristic polymomial is diffcult to obtain because of the existence of a variable. In addition, a decision theorem of the existence of the inverse matrix and a method for its determination are given by using the Hamilton-Caylay Theorem.
关键词
方阵
特征多项式
逆矩阵
计算方法
characteristic polynolial
inverse matrix
computational method
