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

Q1

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,

a

\(
\text { Only } S 2 \text { is true }
\)

b

\(
\text { Only } S 1 \text { is true }
\)

c

\(
\text { Both S1 and S2 are false }
\)

d

\(
\text { Both } S 1 \text { and } S 2 \text { are true }
\)

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