The relationship of a lattice matrix between its adjoint matrix and determinant is pointed out. Using determinant of lattice matrices ,the Cramer rule of linear equation group, which takes the lattice element as its coefficient, is presented.

• 指出了完全分配格上的矩阵及其伴随矩阵与行列式的关系,并用完全分配格上矩阵的行列式给出了以完全分配格上的元素为系数的线性方程组的 Cramer 法则。