| 对一类矩阵秩的恒等式的研究证明 |
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| 引用本文： | 张岩. 对一类矩阵秩的恒等式的研究证明[J]. 价值工程, 2012, 31(31): 241-242 |
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| 作者姓名： | 张岩 |
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| 作者单位： | 东北石油大学,大庆,163000 |
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| 摘 要： | 在何种条件下,Sylvester不等式化为等式是当前研究的重点。本文利用λ矩阵及其初等变换对应到分块矩阵diag{A+k1E,A+k2E,…,A+ktE}中,使得当k1,k2,…,kt在满足一定的条件时,有sum (R(A+kiE)=R) from i=1 to t multiply ((A+kiE)+(t-1)n) from i=1 to t.
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| 关 键 词： | 秩 λ矩阵 初等变换 分块阵 |
Proof of the Identities of a Class of Matrix Rank |
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| ZHANG Yan. Proof of the Identities of a Class of Matrix Rank[J]. Value Engineering, 2012, 31(31): 241-242 |
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| Authors: | ZHANG Yan |
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| Affiliation: | ZHANG Yan(Northeast Petroleum University,Daqing 163000,China) |
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| Abstract: | Under any conditions,to change the inequality Sylvester into equation is the focus of the current study.This paper used the λ matrix and its elementary transformation to correspond to the partitioned matrix diag{A+k1E,A+k2E,…,A+ktE},so that when k1,k2,…,kt meet certain conditions,there are sum (R(A+kiE)=R) from i=1 to t multiply ((A+kiE)+(t-1)n) from i=1 to t. |
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| Keywords: | rank λ matrix elementary transformation chunkedarray |
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