JEE Main & Advanced Sample Paper JEE Main Sample Paper-23

  • question_answer
    Let A be a square matrix of order 3. If det. \[A=2\] then the value of det. (adj. \[{{A}^{3}}\]) is equal to

    A)  \[{{2}^{3}}\]                                     

    B)  \[{{2}^{6}}\]

    C)  \[{{2}^{9}}\]                         

    D)  \[{{2}^{12}}\]

    Correct Answer: B

    Solution :

    \[|adj{{A}^{3}}|=|{{A}^{3}}{{|}^{2}}=|A{{|}^{6}}={{2}^{6}}\]


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