[seqfan] Matrix puzzle

Charles Greathouse charles.greathouse at case.edu
Sun Oct 26 02:03:38 CEST 2014

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
Case Western Reserve University

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