| 矩阵乘积的初等变换术及其应用 |
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| 引用本文： | 叶海江,安希忠,王增辉.矩阵乘积的初等变换术及其应用[J].大学数学,2005,21(4):103-105. |
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| 作者姓名： | 叶海江 安希忠 王增辉 |
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| 作者单位： | 吉林农业科技学院,基础部,吉林,132101;吉林农业大学,信息技术学院,长春,130118 |
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| 摘 要： | 通过矩阵乘法运算的拆行拆列表示,巧妙地绕过初等矩阵,建立了矩阵乘积的初等变换术,进而导出了原来运用初等矩阵才能导出的有关初等变换、逆矩阵、矩阵方程、矩阵等价的若干重要结果.
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| 关 键 词： | 初等变换 初等矩阵 矩阵乘积 初等变换术 |
| 文章编号： | 1672-1454（2005）04-0103-03 |
| 收稿时间： | 2004-06-07 |
| 修稿时间： | 2004年6月7日 |
An Algorithm of Elementary Operations on Product of Two Matrices and Its Applications |
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| YE Hai-jiang,AN Xi-zhong,WANG Zeng-hui.An Algorithm of Elementary Operations on Product of Two Matrices and Its Applications[J].College Mathematics,2005,21(4):103-105. |
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| Authors: | YE Hai-jiang AN Xi-zhong WANG Zeng-hui |
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| Abstract: | By resting on the "column definition" and "row definition" of the product of two matrices, we established an algorithm of elementary operations on a product of two matrices, avoiding the elementary matrices ingeniously, and then direved a series of the important results about the elementary operations, inverse of a matrix, matrix equations, equivalent matrices and so on. Those results had to be derived by the elementary matrices formerly. |
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| Keywords: | elementary operations elementary matrices product of matrices algorithm of elementary operations |
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