摘要
循环矩阵与周期矩阵，本原矩阵与非周期矩阵分别有不同的定义方式。本文证明了循环矩阵等价于周期矩阵，而本原矩阵等价于非周期矩阵。
Cyclic matrix and periodic, primitive matrix and aperiodic matrix have variant defination mode respectively. This paper prove which, that cyclic matrix equivalent to periodic matrix and primitive matrix equivalent to aperiodic matrix.
关键词
矩阵
循环矩阵
本原矩阵
周期矩阵
等价性
nonnegative irreducible matrix
cyclic matrix
primitive matrix
periodic matrix
aperiodic matrix
