perplexus.info :: Just Math : Looking for a square result

Looking for a square result (Posted on 2018-06-14)

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

No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)

re: form of the determinants

| Comment 2 of 18 |

(In reply to form of the determinants by Steven Lord)

seems for d=2018 n=4 and n=5, det(Mn) are in fact squares:

4072324^2 and 182937568^2

(computer solution)

I think I need practice finding the roots of polynomials.....

Posted by Steven Lord on 2018-06-15 02:32:50

Please log in:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (0)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info