For any integers x x and y y, let (x, y) (x, y) and x, y x, y stand for the greatest common divisor and the least common multiple of x x and y y, respectively. Let e e and n n be positive integers. Let S = x 1, ⋯, x n S=\x₁, , xₙ\ be a set of n n distinct positive integers. We denote by (S e) (Sᵉ) and S e Sᵉ the n × n n n matrix having the e e th power of (x
Zhu et al. (Fri,) studied this question.