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JEE Math Practice 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,

  1. A.Only S2 is true
  2. B.Only S1 is true
  3. C.Both S1 and S2 are false
  4. D.Both S1 and S2 are true

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