Let \(A, B, C\) be \(3 \times 3\) matrices such that \(A\) is symmetric and \(B\) and \(C\) are skew-symmetric. Consider…

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) \(A^{26} C^{13}-C^{13} A^{26}\) is symmetric
Then,

[JEE Main 2023, 25 Jan (Shift 2)]