剩余类环上矩阵的可逆性

The Reversibility of Matrices over the Residue Class Ring

类似于数域上矩阵的可逆性的讨论,研究了模m剩余类环上矩阵的初等变换、方阵的行列式、矩阵的秩和矩阵的可逆性,得到了关于剩余类环上的矩阵的几个特殊的结论.

Like the reversibility of the matrix over a field, the elementary transformation, rank, determinant and reversibility of a matrix over the residue class ring mould m are studied. And some special conclusions about the matrix over the residue class ring moul- dm are induced, which are contrasted with that over a field.