Matrices And Determinants

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,