方阵K次幂的一般求法

A General Approach to the K Power of Square Matrix

该文讨论方阵K次幂的一般求法，得到A^k，A^-k的通项公式。作为应用，给出了著名的Hamilton－Cagley定理的一种新的证明方法。

The paper deals with the general approch to the k power of square matrix,coming to the common term formala of A^k, A^-k. As in application,a new method is given todemonstrate the well -known Hamilton-Cayley theorem.