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Question

If A is a square matrix, then A– straight A to the power of straight prime is -
 

  1. unit matrix    
  2. null matrix    
  3. A    
  4. a skew symmetric matrix    

The correct answer is: a skew symmetric matrix


    It is given that A is a square matrix and we need to find what A-A' is
    we know that the transpose of A - A' is (A-A')'
    = A' - (A')'
    =A' - A
    =-(A-A')
    Since it is equal to the negative of its transpose the matrix is a skew symmetric matrix

    Therefore we prove that it is a skew symmetric matrix

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