| 线性代数教学中对初等变换的一点注记 |
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| 引用本文： | 于刚.线性代数教学中对初等变换的一点注记[J].鞍山师范学院学报,2010,12(4):9-11. |
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| 作者姓名： | 于刚 |
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| 作者单位： | 东北财经大学,数学与数量经济学院,辽宁,大连,116025 |
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| 基金项目： | 科技部创新方法专项资助 |
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| 摘 要： | 主要介绍了矩阵的初等变换不改变矩阵的可逆性和矩阵的秩,初等行变换不改变线性方程组的解的结构和向量之间的线性相关性.同时,通过几个例子介绍了初等变换在求矩阵的逆等方面的应用.
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| 关 键 词： | 初等变换 逆矩阵 矩阵的秩 线性相关 线性无关 |
A Note on Elementary Transformation in Teaching of Linear Algebra |
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| YU Gang.A Note on Elementary Transformation in Teaching of Linear Algebra[J].Journal of Anshan Teachers College,2010,12(4):9-11. |
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| Authors: | YU Gang |
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| Institution: | YU Gang(School of Mathematics and Quantitative Economics,Dongbei University of Finance and Economics,Dalian Liaoning 116025,China) |
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| Abstract: | This paper presents that elementary transformation do not change inverse and rank of matrix,and elementary row transformation also do not change the solutions of linear equations and linear relations among vector.Simultaneity,this paper introduces the applications of elementary row transformation infinding inverse of matrix and so on by several examples. |
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| Keywords: | Elementary transformation Inverse matrix Rank of matrix linear correlation Linear independence |
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