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Looking for a square result (Posted on 2018-06-14) Difficulty: 3 of 5
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.

No Solution Yet Submitted by Ady TZIDON    
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  Subject Author Date
re(2): derivation of the formulaSteven Lord2018-06-16 23:10:17
re: derivation of the formulaDaniel2018-06-16 20:48:52
derivation of the formulaSteven Lord2018-06-16 14:02:01
Yes, that's it!Steven Lord2018-06-16 10:35:30
re: how about 2019 instead of 2018?Daniel2018-06-15 21:05:50
how about 2019 instead of 2018?Steven Lord2018-06-15 18:27:15
re(2): n = 4 is a square, regardless of Steven Lord2018-06-15 12:52:06
re: n = 4 is a square, regardless of Daniel2018-06-15 12:18:31
re: No SubjectCharlie2018-06-15 12:17:21
n = 4 is a square, regardless of "d"Steven Lord2018-06-15 11:36:17
No SubjectSteven Lord2018-06-15 11:27:49
re(3): computer solutionCharlie2018-06-15 10:29:47
re(3): computer solutionCharlie2018-06-15 10:11:06
re(2): computer solutionSteven Lord2018-06-15 09:35:39
re: computer solutionCharlie2018-06-15 07:31:40
Solutioncomputer solutionCharlie2018-06-15 07:25:52
re: form of the determinantsSteven Lord2018-06-15 02:32:50
form of the determinantsSteven Lord2018-06-15 02:08:39
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