| 关于线性变换的一点注记 |
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| 引用本文： | 陈彦恒,贾松芳.关于线性变换的一点注记[J].重庆三峡学院学报,2011,27(3):22-24. |
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| 作者姓名： | 陈彦恒 贾松芳 |
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| 作者单位： | 重庆三峡学院数学与统计学院,重庆万州,404100 |
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| 摘 要： | ＂线性空间上的线性变换完全被它在一组基上的作用唯一确定＂是线性代数中的一个重要结论.文章对这个结论做了推广,得到线性空间上任何两个向量组之间存在线性变换的充分必要条件.
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| 关 键 词： | 线性空间 线性变换 向量组 充分必要条件 |
A Note on the Linear Transform |
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| CHEN Yan-heng,JiA Song-fang.A Note on the Linear Transform[J].JOurnal of Chongqing Three Gorges University,2011,27(3):22-24. |
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| Authors: | CHEN Yan-heng JiA Song-fang |
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| Institution: | CHEN Yan-heng JIA Song-fang(School of mathematics and computers of Chongqing Three Gorges University,Wanzhou 404100,china) |
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| Abstract: | It is an important conclusion of linear algebra that the linear transformation is completely and uniquely determined by its action on the base of linear space.This article popularizes this conclusion,and obtains the sufficient and necessary conditions on which a linear transformation exists between any two vectors of the linear space. |
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| Keywords: | linear space linear transform vectors sufficient and necessary condition |
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