基于矩阵的特征多项式与最小多项式相关的探讨

摘要

特征多项式是多项式和线性代数联系的纽带，是高等代数学习中重点和难点。从矩阵的特征多项式与最小多项式的定义出发，基于它们的最基本性质，对两者之间的关系进行了分析探讨并得到了一些有益的结论。%Characteristics of polynomial is polynomial and linear algebra.It is a key point and difficult section in higher algebra. It combine with the minimal polynomial and often becomes mathematics graduate entrance examination of the difficulties and focus. Starting from the characteristic polynomial of matrix and the defini-tion of minimal polynomial based on their basic properties,the present paper analyzes the relationship be-tween the two is discussed and some useful conclusions are obtained.