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    Maths-
    General
    Easy

    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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