Letting Z be integer number ring and A whose normal form is D=VAU=diag(d,d,dq,0,0),this paper obtains an integral solution set to linear Diophantine equation system by means of normal form of matrix A.
Letting Z be integer number ring and A whose normal form is D=VAU=diag(d,d,dq,0,0),this paper obtains an integral solution set to linear Diophantine equation system by means of normal form of matrix A.
借助Z上矩阵A∈Mm×n(Z)的标准形式D=VAU=diag(d,d,…,dq,0,…,0),得到了整环上不定方程组AX=B的通解公式以及矩阵初等变换法.