2. Solved Papers
  3. Manipal Engineering

Manipal Engineering Manipal Engineering Solved Paper-2013

  • question_answer
    If\[A\]is a square matrix of order n such that\[|adj(adj\,\,A)|\,\,=\,\,|A{{|}^{9}}\], then the value of n can be

    A)  4                                            

    B)  2

    C)  either 4 or 2       

    D)         None of these

    Correct Answer: A

    Solution :

    We know that, in a square matrix of order n                 \[|adjA|=|A{{|}^{n-1}}\] \[\Rightarrow \]               \[|adj(adj\,\,A)|=|adj\,\,A{{|}^{n-1}}=|A{{|}^{{{(n-1)}^{2}}}}\] \[\Rightarrow \]               \[{{n}^{2}}-2n-8=0\] \[\Rightarrow \]               \[n=4\]as\[n=-2\]is not possible.


You need to login to perform this action.
You will be redirected in 3 sec spinner