| 求齐次线性方程组基础解系的初等变换法 |
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| 引用本文： | 张金战.求齐次线性方程组基础解系的初等变换法[J].绵阳师范学院学报,2010,29(5):8-10. |
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| 作者姓名： | 张金战 |
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| 作者单位： | 陇南师范高等专科学校数学系,甘肃成县,742500 |
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| 基金项目： | 福建省教育厅基金资助项目 |
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| 摘 要： | 求齐次线性方程组基础解系的一般方法是利用矩阵的初等变换将原方程组化为同解方程组,写出含有n-r个自由未知量的一般解,然后通过给自由未知量适当赋值即得到原方程组的基础解系。该文对这一方法进行了改进,给出了用矩阵的初等变换直接求出齐次线性方程组基础解系的方法。
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| 关 键 词： | 齐次线性方程组 基础解系 初等变换 |
Elementary Transformation for the Basic Solution System of Linear Homogeneous Equation |
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| ZHANG Jin-zhan.Elementary Transformation for the Basic Solution System of Linear Homogeneous Equation[J].Journal of Mianyang Normal University,2010,29(5):8-10. |
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| Authors: | ZHANG Jin-zhan |
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| Institution: | ZHANG Jin-zhan(Department of Mathemcotics,Longnan Teachers College,Chengxian,Gansu 742500) |
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| Abstract: | It is the general method to get basic solution system of homogenous linear equations by altering the original equations into the ones with same solutions by using fundamental transformation of matrix,which requires first giving the general solutions containing n-r free variables,and then evaluating properly these free variables.In this paper,the author give a new method to get basic solution system of such equations by using elementary transformation of matrix only. |
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| Keywords: | linear homogeneous equation basic solution system elementary transformation |
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