关于n阶矩阵m次方幂的通项公式问题

The Problem of a General Formula of the m-power n-order Matrix

文献[1]、[2]中曾通过判别矩阵Δ是幂零矩阵,文献[3]通过幂等矩阵对一般矩阵的方幂作出了讨论。本文通过三次幂等矩阵对矩阵方幂作出初步讨论,并同时指出文献[2]的两处疏漏,把文献[3]中的结果再推广一点。

In this paper, the Matrix A is the nilpotent matrix ,which is based on the discrimination in [1]and [2], the idempotent matrix and general matrices are further discussed in [3]. By analyzing the tripotent matriees and the matrix powe, the paper points out two omissions in[2]and expands the results in [3] .