[seqfan] Matrix puzzle

[Charles Greathouse]

A friend of mine asks: Can you find a 3X3 matrix of distinct positive
integers with a nonzero determinant divisible by each of the nine
constituent elements?

It's easy to find a matrix with eight of the nine dividing the determinant
-- pick (almost) whatever you want for the first eight, then fit the last
to give a determinant equal to the product of the others.

Charles Greathouse
Analyst/Programmer
Case Western Reserve University