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JEE Main & Advanced Sample Paper JEE Main Sample Paper-12

  • question_answer
    Let \[\left[ \begin{matrix}    3 & -5  \\    7 & -12  \\ \end{matrix} \right]\] and \[Q=\left[ \begin{matrix}    12 & -5  \\    7 & -3  \\ \end{matrix} \right]\]then incorrect about the matrix \[{{(PQ)}^{-1}}\]

    A)  nilpotent           

    B)  idempotent

    C)  in volutory                        

    D)  symmetric

    Correct Answer: B

    Solution :

     \[PQ=\left[ \begin{matrix}    1 & 0  \\    0 & 1  \\ \end{matrix} \right]\]


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