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CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2008

  • question_answer
    If \[A(adj\,A)=5I\] where \[I\] is the identity matrix of order 3, then \[|adj\,\,A|\] is equal to

    A)  \[125\]                                

    B)  \[25\]

    C)  \[5\]                                    

    D)  \[10\]

    Correct Answer: B

    Solution :

    Given,  \[A(adj\,\,A)=5I\] \[\therefore \]  \[|A|I=5I\Rightarrow |A|=5\] \[\therefore \]  \[|adj\,(A)=|A{{|}^{3-1}}=|A{{|}^{2}}={{(5)}^{2}}=25\]


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