【摘要】 本文用矩阵多项式和多项式矩阵概念之间虽有区别,但在一定条件下兼容的理论,同时又应用了伴随矩阵的基本性质可较简明地证明Hamilton-Cayley定理及导出最小多项式的公式,以达到推理简要,论证严密的目的。更多还原

【Abstract】 Based on the fact that under specific conditions, the concept of polynomial matrix and that of matrix polynomial are compatible albeit they are diffcrent, and also by utilizing the basic properties of adjoint matrix, a rigid and concise proving of Hamilton-Cayley theorem as well as a derivation of the formula for minimal polynomial is elaborated in this paper by tpe author, resulting in a more comprehensive approach than other conventional methods.更多还原