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方阵的可交换矩阵空间及交换矩阵的求法

Solution of Exchangeable Matrix space of Square Matrix and The Exchange

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【作者】 周硕郭丽杰赵力华

【Author】 ZHOU Shuo 1,GUO Li jie 2,ZHAO Li hua 1 (1.Department of Basic Science Courses,Northeast China Institute of Electric Power Engineering,Jilin City 13201;2.Jilin City Professional college of Industry and Comercial,Jilin City,132012)

【机构】 东北电力学院基础教学部!吉林吉林132012吉林市工贸职业中专!吉林吉林132012

【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。

【Abstract】 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.

  • 【文献出处】 东北电力学院学报 ,Journal of Northeast China Institute of Electric Power Engineering , 编辑部邮箱 ,2000年04期
  • 【分类号】O151
  • 【被引频次】5
  • 【下载频次】856
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