首先给出了整数矩阵的定义及性质，然后讨论了它在求整数的最大公因数和解整系数不定方程中的应用。
This paper first gets definition and theorems of integers matrices, and then to discusses a new method to find the greatest common factor of integers and solves linear indeterminate equation.
本文给出利用矩阵初等变换求一组整数的最大公因数，以及把它表示成这组数的组合的一个方法，此法常比一般“初等数论”教材中所给方法简单。
This paper first gets definition and theorems of integers matrices, and then to discusses a new method to find the greatest common factor of integers and solves linear indeterminate equation.
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