任意初等行列混合变换求解线性方程组 |
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引用本文: | 冯林安,吴茂念.任意初等行列混合变换求解线性方程组[J].贵阳金筑大学学报,2011(3):4-6. |
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作者姓名: | 冯林安 吴茂念 |
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作者单位: | [1]贵州大学理学院,贵州贵阳550025 [2]贵阳学院数学系,贵州贵阳550005 |
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摘 要: | 提出一种任意施行初等行列混合变换求解线性方程组的新方法,分两种情形:1.系数矩阵为可逆矩阵;2.系数矩阵为一般m×n矩阵,两种方法都简便易行。
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关 键 词: | 初等矩阵 初等变换 可逆矩阵 秩 线性方程组 |
Solve the System of Linear Equations with Elementary Row and Column Transformation |
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Institution: | FENG Lin - an WU Mao - nian (1. School of Science, Guizhou University, Gniyang550025, China; 2. Department of Mathematics, Guiyang University, Guiyang 550005, China) |
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Abstract: | This paper gives a new method to solve the system of linear equations with elementary row and column trans formation, and discuss two cases: 1. Coefficient matrixes are invertible; 2. Cofficient matrixes are general m x n matri- xes. This method is easy to operate and the conclusion is significant. |
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Keywords: | elementary matrix elementary transformation invertible matrix rank system of linear equations |
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