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

  • question_answer
    The multiplicative inverse of matrix \[\left[ \begin{matrix}    2 & 1  \\    7 & 4  \\ \end{matrix} \right]\]is  [DCE 2002]

    A) \[\left[ \begin{matrix}    4 & -1  \\    -7 & -2  \\ \end{matrix} \right]\]

    B) \[\left[ \begin{matrix}    -4 & -1  \\    7 & -2  \\ \end{matrix} \right]\]

    C) \[\left[ \begin{matrix}    4 & -7  \\    7 & 2  \\ \end{matrix} \right]\]

    D) \[\left[ \begin{matrix}    4 & -1  \\    -7 & 2  \\ \end{matrix} \right]\]

    Correct Answer: D

    Solution :

    From option check\[A{{A}^{-1}}=I\].


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