Let A, B, C be 3 × 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…

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