| 多个线性方程组有非零公共解的条件 |
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| 引用本文： | 王安平,马烁.多个线性方程组有非零公共解的条件[J].贵州大学学报(自然科学版),2013(5):13-15,26. |
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| 作者姓名： | 王安平 马烁 |
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| 作者单位： | [1]长江大学工程技术学院,湖北荆州434020 [2]荆州理工职业学院,湖北荆州434000 |
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| 基金项目： | 湖北省教育科学“十二五”规划2012年度立项课题,课题编号（2012B310） |
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| 摘 要： | 本文首先讨论了多个齐次线性方程组有非零公共解的必要条件和充要条件，然后讨论了多个非齐次线性方程组有非零公共解的充要条件。当齐次线性方程组的个数为2时的结论是其特例。
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| 关 键 词： | 线性方程组 非零公共解 充要条件 |
The Conditions of Several Linear Equations Existing Nonzero Public Solutions |
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| WANG An-ping,MA Shuo.The Conditions of Several Linear Equations Existing Nonzero Public Solutions[J].Journal of Guizhou University(Natural Science),2013(5):13-15,26. |
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| Authors: | WANG An-ping MA Shuo |
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| Institution: | 1. College of Technology and Engineering, Yangtze University, Jingzhou 434020, China; 2. Jingzhou Vocational College of Technology, Jingzhou 434000, China) |
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| Abstract: | This paper first discusses the several homogeneous linear equations with nonzero public solution of the necessary conditions and necessary and sufficient conditions, and then discusses the necessary and sufficient conditions for several non-homogeneous linear equations which have a common solution of the non-zero. When the number of linear equation sets is two, the conclusion is a special case. |
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| Keywords: | linear equation set nonzero public solution necessary and sufficient condition |
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