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How Many Matrices? (Posted on 2024-08-30) Difficulty: 3 of 5
How many matrices A=[aij] simultaneously satisfy these three conditions:

(i) The elements of A=[aij] are distinct integers.
(ii) The adjoint of A is zero.
(iii) The sum of squares of the elements is minimum.

** Adapted from TYCMJ 199 by Thomas A. Elaner.

No Solution Yet Submitted by K Sengupta    
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