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    Maths-
    General
    Easy

    Question

    If A = open square brackets table row 0 1 row 1 0 end table close square brackets and B =open square brackets table row 0 cell negative i end cell row i 0 end table close square brackets , then -

    1. AB = BA    
    2. AB = B2    
    3. AB = – BA    
    4. None of these    

    The correct answer is: AB = – BA

      To find the correct statement from the given options.
      Given, A = open square brackets table row 0 1 row 1 0 end table close square brackets and B =open square brackets table row 0 cell negative i end cell row i 0 end table close square brackets.
      AB = open square brackets table row 0 cell negative i end cell row i 0 end table close square brackets x open square brackets table row 0 1 row 1 0 end table close square brackets = open square brackets table row cell negative i end cell 0 row 0 i end table close square brackets
      BA = open square brackets table row 0 1 row 1 0 end table close square brackets x open square brackets table row 0 cell negative i end cell row i 0 end table close square brackets = open square brackets table row i 0 row 0 cell negative i end cell end table close square brackets = -AB

      Therefore, AB = -BA.

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