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Let $A = \begin{pmatrix} -5 & -2 & 8 & 1 \\ 8 & -3 & 12 & 3 \\ -1 & -9 & 1 & 12 \\ -5 & -1 & -12 & 4 \end{pmatrix}$ and $B = \begin{pmatrix} 5 & -9 & 0 & 10 \\ -8 & 3 & 8 & -11 \\ 4 & -7 & -10 & -12 \\ 0 & -8 & -11 & 5 \end{pmatrix}$. Find $AB$.