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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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re: computer solution | Comment 4 of 18 |
(In reply to computer solution by Charlie)

I notice I'm interpreting diagonal entry differently from the preceding poster; I'm assuming both diagonals, rather than just the main diagonal. I'll have to later try out main diagonal only.
  Posted by Charlie on 2018-06-15 07:31:40

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