| 线性映射的零空间与值域的若干性质 |
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| 引用本文： | 杜贵春.线性映射的零空间与值域的若干性质[J].安康学院学报,2010,22(4):94-94,101. |
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| 作者姓名： | 杜贵春 |
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| 作者单位： | 安康学院,数学系,陕西,安康,725000 |
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| 基金项目： | 安康学院教学改革研究项目 |
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| 摘 要： | 本文讨论了数域F上向量空间上线性映射的零空间和值域的一些性质,证明了秩与零度定理,并研究了n维向量空间V上的两个线性变换的零空间和值域之间的关系。
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| 关 键 词： | 线性空间 线性映射 零空间 值域 |
On the Properties of Null-space and Range Space of Linear Mappings |
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| DU Guichun.On the Properties of Null-space and Range Space of Linear Mappings[J].Journal of Ankang Teachers College,2010,22(4):94-94,101. |
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| Authors: | DU Guichun |
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| Institution: | DU Guichun(Department of Mathematics,Ankang University,Ankang 725000,Shaanxi,China) |
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| Abstract: | Properties on the null-space and range space of linear mappings which defined on the vector space on numerical field F are discussed in this paper;the rank and nullity theorem is to be proved.And at the same time,the relation between null-space and range space of two linear transforms is also investigated. |
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| Keywords: | linear space linear mapping null-space range |
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