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,

Question

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,

Only S2 is true

Only S1 is true

Both S1 and S2 are false

Both S1 and S2 are true

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