Let $A, B, C$ be $3 \times 3$ matrices such that $A$ is symmetric and $B$ and $C$ are skew-symmetric. Consider the statements
(S1) $A^{13} B^{26}-B^{26} A^{13}$ is symmetric
(S2) $\mathrm{A}^{26} \mathrm{C}^{13}-\mathrm{C}^{13} \mathrm{~A}^{26}$ is symmetric
Then,
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