KVPY Sample Paper KVPY Stream-SX Model Paper-27

  • question_answer
    If A is order 4 square matrix such that \[\left| \,A\, \right|=2,\] then \[\left| \,adj\,\,(adj\,\,(adj\,A))\,\, \right|\] is-

    A) 512

    B) 256

    C) 64        

    D) None of these

    Correct Answer: D

    Solution :

    \[\left| \,adj\,(adj.\,(adj\,A))\, \right|={{\left| \,adj\,\,A\, \right|}^{{{(n-1)}^{2}}}}\] \[={{\left| \,A\, \right|}^{n-1{{)}^{3}}}}={{2}^{27}}\]


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