带号GCD矩阵和LCM矩阵

Signed GCD and LCM Matrices

令S={x1,x2,…,xn}是1个不含零的整数集.定义了s上的带号CCD矩阵和LCM矩阵,得到了它们的行列式、逆矩阵和广义逆矩阵的计算公式.

Let S = {x1, x2,…, xn } be a list of nonzero integers. The signed GCD and LCM matrices on S are defined, and the calculation equations of their determinant, inverse matrix and generalized inverse matrix are obtained.