JEE Main & Advanced Mathematics Determinants & Matrices Question Bank Self Evaluation Test - Determinats

  • question_answer
    If \[\left| A \right|=8,\] where.4 is square matrix of order 3, then what is \[\left| adj\,\,A \right|\] equal to?

    A) \[16\]

    B) \[24\]

    C) \[64\]

    D) \[512\]

    Correct Answer: C

    Solution :

    [c] Let \[\left| A \right|=8\] and A is a square matrix of order 3. We know that \[\left| adj\,\,A \right|={{\left| A \right|}^{n-1}}.\] I where ?n? is the order of the matrix A. \[\therefore \left| adj\,\,A \right|={{8}^{3-1}}={{8}^{2}}=64\]


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