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关于体上非齐次左线性方程组解的研究

Some Studies on Solution of a Nonhomogeneous System of Linear Left Equations Over a SkewField
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摘要 给出了任意体F上非齐次左线性方程组相容的一个充要条件和求解的简便方法,利用此法还能同时求出其导出组的基础解系,而且顺便讨论了F上一般左线性方程组的解,给出了其有解判定定理及解的结构定理。 In this pqper we give a sufficient and necessary consistency condition of a nonhomogeneous system of linear left equations over an arbitrary skew field F, and a convenient, simple method of solving the system. By the method, we can also find a fundamental system of solutions of the associated homogeneous system. By the way, we discuss solutions of a general system of linear left equaions over F, give a theorem on the consistency criterion of the system, and a theorem on its solution construction.
机构地区 菏泽师专 昌潍师专
出处 《菏泽师专学报》 1997年第2期36-38,共3页
关键词 非齐次 左线性 基础解系 线性方程组 skew field, nonhomogeneous system of linear left equations, fundamental system of solutions.
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参考文献1

  • 1谢邦杰.环与体上的矩阵及两类广义Jordan形式[J]吉林大学学报(自然科学版),1978(01).
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