J & K CET Engineering J and K - CET Engineering Solved Paper-2005

  • question_answer
    If \[X=\left[ \begin{matrix}    -x & -y  \\    z & t  \\ \end{matrix} \right],\] then transpose of adj (X) is

    A)  \[\left[ \begin{matrix}    t & z  \\    -y & -x  \\ \end{matrix} \right]\]

    B)  \[\left[ \begin{matrix}    t & y  \\    -z & -x  \\ \end{matrix} \right]\]

    C)  \[\left[ \begin{matrix}    t & -z  \\    y & -x  \\ \end{matrix} \right]\]

    D)  None of these

    Correct Answer: B

    Solution :

    Given, \[X=\left[ \begin{matrix}    -x & -y  \\    z & t  \\ \end{matrix} \right]\] adj \[(X)=\left| \begin{matrix}    t & y  \\    -z & -x  \\ \end{matrix} \right|\]


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