| 用矩阵的初等行变换求齐次线性方程组的标准正交解系 |
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| 引用本文： | 于永新. 用矩阵的初等行变换求齐次线性方程组的标准正交解系[J]. 鞍山科技大学学报, 1993, 0(3) |
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| 作者姓名： | 于永新 |
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| 作者单位： | 鞍山钢铁学院基础部 |
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| 摘 要： | 提出一个用矩阵的初等变换求线性方程组的解空间的标准正交基的方法。该方法将求线性方程组的基解向量与基解向量标准化连系起来,因而更为简捷,更便于编程序上计算机作数值计算。
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| 关 键 词： | 正交基础解系 施密特正交法 矩阵的初等变换 |
Using the Elementary Line Transformation of Matrix Extract the Normal Orthogonal System of Solution of Homogeneous Linear System of Equations |
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| Yu Yongxin. Using the Elementary Line Transformation of Matrix Extract the Normal Orthogonal System of Solution of Homogeneous Linear System of Equations[J]. Journal of Anshan University of Science and Technology, 1993, 0(3) |
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| Authors: | Yu Yongxin |
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| Abstract: | In this paper a method is put forward to extract the normal orthogonal system of solution of homogeneous linear system of equations using the elementary line transformation of matrix. This method joins extracting the basic solution system of linear system of equations to standardizing the basic solution system,so that it is simpler and more direct,and it is more convenient to make numerical calculation with computer programming. |
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| Keywords: | normal orthogonal system of solution Schmidt's orthogonalization elementary line transformation of matrix |
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