MathematicsIf A is a square matrix, then A−A’   is a ___________.

If A is a square matrix, then AA'   is a ___________.


  1. A
    Diagonal matrix 
  2. B
    Skew symmetric matrix 
  3. C
    Symmetric matrix
  4. D
    None of these  

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    Solution:

    Given that the A is a square matrix. Now, the transpose of AA'   is,
    =(AA')' =A'(A')' =A'A =(AA')  
    As AA'   is equal to the negative of its transpose, then AA'   is a skew symmetric matrix.
     
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