MHB Finding Squares in a Square Box: n > 1

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The discussion focuses on identifying integers n greater than 1 for which an n x n square can be filled with distinct integers, ensuring that the sums of each row and column are perfect squares and all 2n sums are unique. Participants express confusion about the problem's complexity and request examples for clarity. An example is needed to illustrate the concept effectively. The challenge lies in both the mathematical constraints and the uniqueness of the sums. Clear examples would greatly aid understanding of this intricate problem.
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Determine all integers n> 1, for which in the square box of dimensions (n x n) you can enter different squares of integers, so that the sum of numbers in each row and in each column of the array is a square of an integer, and all the 2n sums are different.
 
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I get a headache reading that...
can you PLEASE post an example...merci beaucoup...
 
Thread 'Erroneously finding discrepancy in transpose rule'

Thread 'Erroneously finding discrepancy in transpose rule'

Obviously, there is something elementary I am missing here. To form the transpose of a matrix, one exchanges rows and columns, so the transpose of a scalar, considered as (or isomorphic to) a one-entry matrix, should stay the same, including if the scalar is a complex number. On the other hand, in the isomorphism between the complex plane and the real plane, a complex number a+bi corresponds to a matrix in the real plane; taking the transpose we get which then corresponds to a-bi...
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