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JEE Main & Advanced Mathematics Determinants & Matrices Question Bank Special types of matrices, Transpose, Adjoint and Inverse of matrices

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    \[{{\left[ \begin{matrix}    -6 & 5  \\    -7 & 6  \\ \end{matrix} \right]}^{-1}}\]= [Karnataka CET 1994]

    A) \[\left[ \begin{matrix}    -6 & 5  \\    -7 & 6  \\ \end{matrix} \right]\]

    B) \[\left[ \begin{matrix}    6 & -5  \\    -7 & 6  \\ \end{matrix} \right]\]

    C) \[\left[ \begin{matrix}    6 & 5  \\    7 & 6  \\ \end{matrix} \right]\]

    D) \[\left[ \begin{matrix}    6 & -5  \\    7 & -6  \\ \end{matrix} \right]\]

    Correct Answer: A

    Solution :

    Since\[\left[ \begin{matrix}    -6 & 5  \\    -7 & 6  \\ \end{matrix} \right]\,\,\left[ \begin{matrix}    -6 & 5  \\    -7 & 6  \\ \end{matrix} \right]=\left[ \begin{matrix}    1 & 0  \\    0 & 1  \\ \end{matrix} \right]\].


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