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

  • question_answer
    Inverse matrix of \[\left[ \begin{matrix}    4 & 7  \\    1 & 2  \\ \end{matrix} \right]\]      [RPET 1996, 2001]

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

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

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

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

    Correct Answer: A

    Solution :

    \[{{A}^{-1}}=\frac{Adj\,(A)}{|A|}\]; \[{{A}^{-1}}=\left[ \begin{matrix}    2 & -7  \\    -1 & 4  \\ \end{matrix} \right]\]


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