| 线性方程组的反问题 |
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| 引用本文： | 邱茂路. 线性方程组的反问题[J]. 大学数学, 1999, 0(4) |
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| 作者姓名： | 邱茂路 |
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| 作者单位： | 山东财政学院!济南250014 |
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| 摘 要： | 给定线性方程组AX= b,易求其通解,设为U0+ k1U1+ …+ krUr ()反过来,当给定()式,怎样构造一个线性方程组以()为通解? 本文称这类问题为线性方程组的反问题,并给出了这类问题的一个解法.
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| 关 键 词： | 线性方程组的反问题 基础解系 通解 |
The Inverse Problem for the System of Linear Equations |
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| Qiu Maolu. The Inverse Problem for the System of Linear Equations[J]. College Mathematics, 1999, 0(4) |
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| Authors: | Qiu Maolu |
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| Abstract: | Given a system oflinear equations AX= 0, itis easy to find a generalsolution w hich has the form U0+ k1U1+ …+ krUr () Inversely, w hen given an expression (), how can w e construct a system of linear equations w hich has () as the generalsolution? We callthis kind ofproblem the inverse problem forsystem oflinear equations and have given a w ay to solve this problem in this paper. |
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| Keywords: | Inverse problem for the system oflinear equations System offundam entalsolutions Gen- eralsolution. |
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