For each positive integer n, let Mn be the square matrix (nxn) where each diagonal entry is 2018, and every other entry is 1.
Determine the smallest positive integer n (if any) for which the value
of det(Mn) is a perfect square.
(In reply to
No Subject by Steven Lord)
Yes indeed n=4 is the only square case found below 51 (limit of search being 50):
n flag det square root rounded square root squared
3 0 8217943780 90652.8751888212313417888 8217966409
4 1 16583814616329.0 4072323.0 16583814616329
5 0 33466154331639482 182937569.491997684625234848 33466154151629761
6 0 67534699441256611254.0 8217949831.9992566899135579589 67534699441268828224
Edited on June 15, 2018, 12:18 pm
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Posted by Charlie
on 2018-06-15 12:17:21 |
re: No Subject
