| 初等变换的关系及可逆矩阵的分解 |
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| 引用本文： | 张新发.初等变换的关系及可逆矩阵的分解[J].大学数学,2003,19(2):82-85. |
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| 作者姓名： | 张新发 |
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| 作者单位： | 华东理工大学数学系,上海,200237 |
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| 摘 要： | 给出三种初等变换之间的关系 ,指出可逆矩阵可以分解为两种类型的初等矩阵的乘积 .对于行列式为 1的可逆阵 ,我们得出有趣的结果 ,所有这些 ,对于学习线性代数的同学们来说 ,都是很有益的
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| 关 键 词： | 初等变换 初等矩阵 可逆矩阵 |
| 文章编号： | 1672-1454(2003)02-0082-04 |
| 修稿时间： | 2002年2月15日 |
On the Relationship of Elementary Transformations and the Decompositions of Invertible Matrix |
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| ZHANG Xin-fa.On the Relationship of Elementary Transformations and the Decompositions of Invertible Matrix[J].College Mathematics,2003,19(2):82-85. |
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| Authors: | ZHANG Xin-fa |
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| Abstract: | We demonstrate the relationship of the three types of elementary transformations, and then we state that a invertible matrix can be decomposed into products of two types of elementary matrix. We get some interesting results for the matrix with determinant equal to 1. These are valuable to students who are studying linear algebra. |
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| Keywords: | elementary transformation elementary matrix invertible matrix |
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