# Matrices Do Commute

$AB = BA = \begin{bmatrix} 54 & 37 \\ 37 & 17 \end{bmatrix}$

Let $$A$$ & $$B$$ be the symmetrical matrices, satisfying the equation above, such that every element in both matrices is a positive integer from $$1$$ to $$9$$, but both matrices do not share any element in common.

Compute $$|\det(A+B)|$$.

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