摘要
Mn(C)表示复数域C上所有n×n矩阵的全体.对A∈Mn(C),A的中心化子定义为C(A)={B∈M}n(C)|AB=BA.本文利用相似变换及Jordan矩阵给出了复数域上任意n阶方阵的中心化子和中心化子的基及维数.
Denoted by Mn(C) the set of all n× n matrices over the complex number field C . For A∈Mn(C) , C(A)={ B∈Mn(C)|AB=BA }is called the centralizer of A . In this paper, using similar transformation and Jor-dan matrix, the authors of this paper determine C(A) and dim?C(A) for any A∈Mn(C) .
出处
《常熟理工学院学报》
2014年第2期32-37,41,共7页
Journal of Changshu Institute of Technology