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If $$A = \left(\begin{array}{c}0 & 0 & 1\\ 0 & 1 & 0 \\1 & 0 & 0\end{array}\right)$$ and $$B = \left(\begin{array}{c}1 & 0 & 0\\ 0 & 1 & 0 \\0 & 0 & 1\end{array}\right)$$ then $$A^{15}B^{17} + A^{17}B^{15} =$$
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