剩余类环上的二阶可逆矩阵

Invertible 2×2-matrices over the residue class rings

采用代数及数论的方法 ,讨论了剩余类环上二阶可逆矩阵的性质 ,得到了判断剩余类环上二阶矩阵是否可逆的一个判定条件 。

Using algebraic and number theory methods, this paper gives some properties concerning 2×2 matrix over a residue class ring, and we obtain a condition for asserting whether a 2×2 matrix over a residue class ring is invertible. Furthermore, the number of invertible 2×2 matrices over a residue class ring is also given.