CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2000

  • question_answer
    If A is a square matrix of order 3, then\[|adj\,A|\]is equal to:

    A)  \[1\]                    

    B)                         \[|A|\]                               

    C)         \[|A{{|}^{3}}\]                                

    D)         \[|A{{|}^{2}}\]

    E)         \[|A{{|}^{-1}}\]

    Correct Answer: D

    Solution :

    \[|adj\,A|=|A{{|}^{n-1}}\]where A is of order n. If A is square matrix of order 3 \[\therefore \] \[|adj\,A|=|A{{|}^{2}}\]


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