求一个特殊矩阵的n次幂的方法

An Algorithm of Computing an n Exponent of a Matrix

由两个特殊的低阶方阵的n次幂,猜测出一种特殊形式的k阶方阵A的n次幂,然后通过数学归纳法证明了结果的正确性.本文提供了一种求特殊幂的方法.对求矩阵的幂给出了一种新思路.

First, we compute n exponent of two simply square matrix, according to their properties, we guess n exponent of a k order square matrix. Then, we prove the conclusion using induction. This method gives a new ideal to compute an exponent of a special matrix.