摘要
证明了与方阵A可交换的矩阵类 {B}构成线性空间 ,给出方阵的可交换矩阵空间概念 ,讨论了该矩阵空间的维数、基等概念 ,以及与方阵A的关系 ;进而给出了求与某一方阵A可交换的全体矩阵的方法。
The article proves that matrix｛B｝ which can be exchange with matrix A is linear space through the concepts of exchangeable matrix space of square matrix.discusses the concepts of dimension,base of matrix space as well as relation ship with matrix A ard,furthermore,obtains whole matrixes which is exchangeable with a square matrix A.
出处
《东北电力学院学报》
2000年第4期53-56,共4页
Journal of Northeast China Institute of Electric Power Engineering
关键词
可交换矩阵空间
交换矩阵
方阵
线性代数
exchangeable matrix space
dimension
base
exchangeable matrix
