Maths-
General
Easy

Question

If A and B are two skew symmetric matrices of order n, then-

  1. AB is a skew symmetric matrix    
  2. AB is a symmetric matrix    
  3. AB is a symmetric matrix if A and B commute    
  4. None of these    

The correct answer is: AB is a symmetric matrix if A and B commute


    We are given
    A' = –A and B' = –B
    Now, (AB)' = B'A' = (–B) (–A) = BA
    = AB if A and B commute.

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