| 线性函数的核及其线性相关性 |
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| 引用本文： | 王路群,刘冬丽,李凤霞. 线性函数的核及其线性相关性[J]. 高师理科学刊, 2009, 29(5): 10-13 |
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| 作者姓名： | 王路群 刘冬丽 李凤霞 |
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| 作者单位： | 哈尔滨师范大学恒星学院信息科学系,黑龙江,哈尔滨,150025 |
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| 基金项目： | 黑龙江省高教学会"十一五"规划项目 |
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| 摘 要： | 讨论线性函数的核与其线性相关性的关系,给出了线性函数线性相关性的几个等价条件,进一步丰富了线性函数的理论.得到的关键性结论之一:设f 1,f2,…,fs∈V*,dim V=n∈Z+,则f可由f 1,f2,…,fs线性表示,当且仅当KerfKerf1∩Kerf2∩…∩Kerfs.
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| 关 键 词： | 线性函数 线性函数的核 对偶空间 |
The kernel of linear functions and their linearly dependence |
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| WANG Lu-qun,LIU Dong-li,LI Feng-xia. The kernel of linear functions and their linearly dependence[J]. Journal of Science of Teachers＇College and University, 2009, 29(5): 10-13 |
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| Authors: | WANG Lu-qun LIU Dong-li LI Feng-xia |
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| Affiliation: | WANG Lu-qun,LIU Dong-li,LI Feng-xia(Department of Information Science,Strar College of Harbin Normal University,Harbin 150025,China) |
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| Abstract: | Discussed the relationship between the kernel of linear functions and their linearly dependence.And it was showed that there are some conclusions of equivalence.Therefore,the conclusions enrich the theory of linear function.For instance,one of the critical conclusions is as follows,let f1,f2,…,fs ∈V*,d im V =n,n ∈Z+,then f is a linear combination of f1,f2,…,fs,if and only if Kerf Kerf1∩ Kerf2∩…∩Kerfs. |
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| Keywords: | linear function the kernel of linear function dual space |
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