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Question

Let A be a square matrix. Then which of the following is not a symmetric matrix -

  1. A + A to the power of straight prime    
  2. AA to the power of straight prime    
  3. A to the power of straight primeA    
  4. A –A to the power of straight prime    

The correct answer is: AA to the power of straight prime


    we are asked to find which of the given options is not a symmetric matrix
    A is a square matrix (A - A')'
    = A' - (A')'
    =A' - A
    hence it is not a symmetric matrix

    Therefore we find that A -A' is not a symmetric matrix

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