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JCECE Engineering JCECE Engineering Solved Paper-2002

  • question_answer
    If \[A\] and \[B\] are \[2\] square matrices of the same order, then\[{{(A-B)}^{2}}\]is:

    A) \[{{A}^{2}}-AB-BA+{{B}^{2}}\]

    B) \[{{A}^{2}}-2BA+{{B}^{2}}\]

    C) \[{{A}^{2}}-2AB+{{B}^{2}}\]

    D) \[{{A}^{2}}-{{B}^{2}}\]

    Correct Answer: A

    Solution :

    \[\therefore \]  \[{{(A-B)}^{2}}=(A-B)(A-B)\]                                 \[={{A}^{2}}-AB-BA+{{B}^{2}}\]


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