利用矩阵的初等列变换，给出了求解多元线性不定方程的一种方法，该方法改进了传统方法计算量大、步骤多的缺点。
By elementary rank transformations of matrix, a method has been obtained to solve linear diophantine equation with some variables. The method overcomes the deficiency of traditional method.
该算法在可控性矩阵中将输入矩阵用其列向量的极大线性无关组代替，并使用矩阵的行初等变换；
By using the elementary row transformation in the controllable matrix, the input matrix is replaced by the maximally linear independent set of its column vectors.
利用这些规则，可以通过对无约束网络的不定导纳矩阵进行初等的行、列变换得到约束网络的导纳矩阵。
With the rules, the nodal admittance matrix can be obtained by simple row and column transformations in the unconstrained indefinite-admittance matrix.
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