E. A. Molnar, "A Matrix Problem,"
American Mathematical Monthly, 81, pages 383-384, 1974.
Various authors followed up this article with both single solutions and
parametric families of solutions:
American Mathematical Monthly, 82, pages 999-1000, 1975.
American Mathematical Monthly, 84, page 809, 1977.
American Mathematical Monthly, 94, page 962, 1987.
Guy presents an overview and discusses variants of the problem:
R. K. Guy, "Unsolved Problems in Number Theory", Section F28,
Sringer-Verlag, 1994.
A CSP model is presented in:
A. M. Frisch, C. Jefferson, I. Miguel,
"Constraints for Breaking More Row and Column Symmetries,"
Proceedings of the 9th International Conference on Principles and
Practice of Constraint Programming, 2003.