关于向量的最小多项式

On the minimal polynomial of a vector

利用向量的最小多项式,给出了Cayley-Hamilton定理的一个证明;并证明了对有限维向量空间及其上的线性变换A存在某个向量关于A的最小多项式等于A的最小多项式.

A proof of Cayley-Hamilton theorem was presented by the minimal polynomial of a vector.For a linear transformation A of a finite dimensional vector space,we also proved that it existed some vector such that its minimal polynomial with respective to A be equal to the minimal polynomial of A.