| THE PROPERTIES OF MATRICES aI+βJ AND SOME RELATED PROBLEMS |
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| 引用本文： | 魏万迪,阳本傅.THE PROPERTIES OF MATRICES aI+βJ AND SOME RELATED PROBLEMS[J].应用数学学报(英文版),1988(4). |
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| 作者姓名： | 魏万迪 阳本傅 |
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| 作者单位： | Sichuan University，Teacher-Training College of Chengdu |
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| 摘 要： | Let F Be a field,v(≥2)an integer,I_v the identity matrix of order v,and J_v the all-one matrix of order v.Let={aI_v+βJ_u,∈GL_u(F)|a,β∈F},and={C∈GL_v(F)|the row-sums and the column-sums of C are all equal}.In this paper,we study (1) the center and the centralizer of ,(2) the centralizer and the normalizer of when v=2,and (3) the orders of and the normalizer of.
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