Maths-
General
Easy

Question

If A and B are any two square matrices of the same order, then

  1. left parenthesis A B right parenthesis to the power of straight prime equals A to the power of straight prime B to the power of straight prime    
  2. adj (AB) = adj(A) adj(B)    
  3. left parenthesis AB right parenthesis to the power of straight prime equals straight B to the power of straight prime straight A to the power of straight prime    
  4. A B equals O rightwards double arrow A equals O text  or  end text B equals O    

The correct answer is: left parenthesis AB right parenthesis to the power of straight prime equals straight B to the power of straight prime straight A to the power of straight prime


    Multiplication of square matrices is a square matrix of same order and by property of transpose. Hence(C) is the correct answer.

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