| 交换环上Rao正则矩阵的广义Cramer法则 |
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| 引用本文： | 王宏兴,刘晓冀. 交换环上Rao正则矩阵的广义Cramer法则[J]. 大学数学, 2010, 26(3) |
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| 作者姓名： | 王宏兴 刘晓冀 |
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| 作者单位： | 淮南师范学院,数学系,安徽,淮南,232001;广西民族大学,数学与计算机科学学院,广西,南宁,530006;广西民族大学,数学与计算机科学学院,广西,南宁,530006 |
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| 基金项目： | 广西科学基金资助项目,安徽省高等学校优秀青年人才基金 |
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| 摘 要： | Gong Z,Aldeen M和Elsner L在[A note on a generalized Cramer’s rule,Linear AlgebraApp.,2002,340:253-254]中给出结论:对任意的k,α∈Qk,n,β∈Qk,m有|Xα,β|=|A-1|AYαβ,其中A∈n×n可逆矩阵,AX=Y.本文给出交换环上Rao正则矩阵的广义Cramer法则.
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| 关 键 词： | Cramer法则 交换环 Rao正则矩阵 |
The Generalized Cramer' Ruler of Rao Regular Matrix over Commutative Rings |
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| WANG Hong-xing,LIU Xiao-ji. The Generalized Cramer' Ruler of Rao Regular Matrix over Commutative Rings[J]. College Mathematics, 2010, 26(3) |
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| Authors: | WANG Hong-xing LIU Xiao-ji |
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| Abstract: | Gong Z,Aldeen M and Elsner L in [A note on a generalized Cramer's rule,Linear Algebra App.,2002,340: 253-254] given the result: for any k,α∈Qk,n,β∈Qk,m,|Xα,β|=|A-1|AYαβ,where An×n is a nonsingular matrix over field r(A)=n and AX=Y.In this paper,the generalized Cramer' ruler of Rao regular matrix over communicate rings was given. |
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| Keywords: | Cramer' ruler commutative ring Rao regular matrix |
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