【摘要】 研究了完全分配格上的矩阵及其行列式的性质,给出了格矩阵的行列式的"拉普拉斯展开"计算式,研究了格矩阵及其伴随矩阵与行列式的关系,并用格矩阵的行列式给出了以格元素为系数的线性方程组的"克兰姆法则".更多还原

【Abstract】 The characteristics of matrices over completely distributive lattices and their determinant are studied. A Laplace expansion formula for the determinant of lattice matrices is given. The relationship of a lattice matrice with its adjoint matrice and determinant is studied. Using determinant of lattice matrices, the Cramer rule of linear equation group,which takes the lattice element as its coefficient, is presented, also.更多还原