| 矩阵初等变换在数论中的两个应用 |
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| 引用本文： | 陈碧琴.矩阵初等变换在数论中的两个应用[J].云南师范大学学报(自然科学版),2004,24(5):25-27,59. |
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| 作者姓名： | 陈碧琴 |
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| 作者单位： | 重庆师范大学数计学院,重庆,400047 |
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| 基金项目： | 重庆市教委科研基金项目(010204) |
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| 摘 要： | 矩阵论的应用十分广泛。文章将以矩阵的初等变换为理论工具，通过对两个命题的证明，给出了用矩阵的初等变换求整数的最大公因数和解线形不定方程的方法。
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| 关 键 词： | 矩阵初等变换 最大公因数 线形不定方程 |
| 文章编号： | 1007-9793(2004)05-0025-03 |
The two application of elementary transformation of matrices to the number theory |
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| CHEN Bi-qin.The two application of elementary transformation of matrices to the number theory[J].Journal of Yunnan Normal University (Natural Sciences Edition),2004,24(5):25-27,59. |
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| Authors: | CHEN Bi-qin |
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| Abstract: | The application of matrices is very vide, this paper base on the theory of elementary transformation of matrices, By proving two piece of theorem, We discover a new method which is put forward to find the greatest common factor of integers and to solve linear indeterminate equation by elementary transformation of matrices. |
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| Keywords: | elementary transformation of matrices the greatest fator linear indeterminate equation |
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