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JEE Main & Advanced Sample Paper JEE Main Sample Paper-27

  • question_answer
    If M is a \[3\times 3\] matrix such that \[{{M}^{2}}=0\], then det. \[\left( {{(I+M)}^{50}}-50M \right)\] where I is an identity matrix of order 3, is equal to

    A)  3                                

    B)  50

    C)  2                                

    D)  1

    Correct Answer: D

    Solution :

    \[{{M}^{2}}=O\] \[\therefore \,\,{{(I+M)}^{50}}-50\,\,M=I\] (Expanding binomially)


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