哈密顿-凯莱定理的应用

Applications of Hamilton-cayley Theorem

给出了哈密顿—凯莱定理的一个新证明,通过实例分别介绍了此定理在计算矩阵多项式、逆矩阵和最小多项式等方面的应用,反映了哈密顿—凯莱定理在高等代数中的重要地位和作用.

A new proof of the Hamilton Cayley theorem is given. Applications of the theorem in the cal culation of matrix polynomial, inverse matrix, the smallest polynomial and so on have also been given This paper shows that the Hamilton Cayley theorem plays an important role in advanced algebra.