矩阵多项式问题的两种解法

Two Solutions of Matrix Polynomial Problem

摘要: 线性代数的问题中，关于矩阵多项式的问题有很多。本文从两个观点讨论对他们的解法。并用它们分别证明线性代数中著名的Hamilton-Caylay定理与根子空间分解定理加强命题。

Abstract: Among the problems of linear algebra, there are many problems about matrix polynomials. This article discusses their solutions from two viewpoints. And we use them to prove the famous Ham-ilton-Caylay Theorem and root subspace decomposition theorem in linear algebra to strengthen the proposition.