矩阵初等变换在数论中的两个应用  

The two application of elementary transformation of matrices to the number theory

作　　者：陈碧琴[1] 

机构地区：[1]重庆师范大学数计学院,重庆400047

出　　处：《云南师范大学学报（自然科学版）》2004年第5期25-27,59,共4页Journal of Yunnan Normal University:Natural Sciences Edition

基　　金：重庆市教委科研基金项目(010204)

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。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.

关 键 词：矩阵初等变换 最大公因数 线形不定方程 

分 类 号：O156.1[理学—数学]