| k-幂零矩阵的一个新性质 |
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| 引用本文： | 廖小莲,伍征斌,陈国华.k-幂零矩阵的一个新性质[J].湖南人文科技学院学报,2011(2):71-73. |
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| 作者姓名： | 廖小莲 伍征斌 陈国华 |
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| 作者单位： | 湖南人文科技学院数学与应用数学系,湖南娄底,417001 |
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| 摘 要： | 通过对幂零矩阵的性质进行探讨,得出了k-幂零矩阵的一条新性质——n阶k-幂零矩阵的秩的取值范围,并给出了定理的证明过程。
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| 关 键 词： | k-幂零矩阵 Jordan标准型 秩 整数分拆 |
New Property of K-nilpotent Matrix |
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| LIAO Xiao-lian,WU Zheng-bin,CHEN Guo-hua.New Property of K-nilpotent Matrix[J].Journal of Hunan Institute of Humanities,Science and Technology,2011(2):71-73. |
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| Authors: | LIAO Xiao-lian WU Zheng-bin CHEN Guo-hua |
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| Institution: | (Department of Mathematics and Application Mathernatics,Hunan Institute of Humanities,Science and Technology,Loudi 417001,China) |
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| Abstract: | By discussing the properties of nilpotent matrix,and a new property of k-nilpotent matrix was obtained about the value range of rank of k-nilpotent matrix with ordern.At last,the proof of the theorem was given. |
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| Keywords: | k-nilpotent matrix Jordan＇s normal form rank integer partition |
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