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JEE Math Practice Question

Let A and B be 3 $$\times$$ 3 real matrices such that A is symmetric matrix and B is skew-symmetric matrix. Then the system of linear equations (A2B2 $$-$$ B2A2) X = O, where X is a 3 $$\times$$ 1 column matrix of unknown variables and O is a 3 $$\times$$ 1 null matrix, has :

  1. A.no solution
  2. B.exactly two solutions
  3. C.infinitely many solutions
  4. D.a unique solution

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