| 多个齐次线性方程组有非零公共解的充要条件 |
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| 引用本文： | 耿秀荣,陈雪雯.多个齐次线性方程组有非零公共解的充要条件[J].绵阳师范学院学报,2010,29(11). |
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| 作者姓名： | 耿秀荣 陈雪雯 |
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| 作者单位： | 桂林航天工业高等专科学校计算机系;广西经贸职业技术学院; |
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| 基金项目： | 广西区教育厅科研项目，桂林航专校级精品课程资助项目 |
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| 摘 要： | 推广两个齐次线性方程组有非零公共解的充要条件,能够得到一个多个齐次线性方程组有非零公共解的充要条件,并给出非零公共解的一般形式.而当方程组的个数是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 充分必要条件 推广 |
Necessary and Sufficient Conditions of Several Homogeneous Linear Equation Sets With Nonzero Public Solutions |
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| GENG Xiu-rong,CHEN Xue-wen.Necessary and Sufficient Conditions of Several Homogeneous Linear Equation Sets With Nonzero Public Solutions[J].Journal of Mianyang Normal University,2010,29(11). |
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| Authors: | GENG Xiu-rong CHEN Xue-wen |
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| Institution: | GENG Xiu-rong1,CHEN Xue-wen2(1.Guilin College of Aerospace Technology,Guilin,Guangxi,541004,China,2.Guangxi Economic and Trade Polytechnic,Nanning,530021,China) |
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| Abstract: | The generalization of the necessary and sufficient conditions of two homogeneous linear equation sets with nonzero public solutions can get a necessary and sufficient condition for many homogeneous linear equation sets with nonzero public solutions and present a general form of nonzero public solutions.When the number of the 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 generalization |
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