[seqfan] Re: Matrix puzzle

[Jeremy Gardiner]

Nice puzzle!

Programmatically, yes.
By hand is more of a challenge :-)

Now, if all elements are less than k, how many solutions are there?

Jeremy

On 26/10/14 00:03, "Charles Greathouse" <charles.greathouse at case.edu> wrote:

> 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

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