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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