12th Class Mathematics Sample Paper Maths Olympiad Model Test Paper-10

  • question_answer
    If \[A=\left[ \begin{matrix}    0 & 1 & 2  \\    1 & 2 & 3  \\    3 & a & 1  \\ \end{matrix} \right]\]  and \[{{A}^{-1}}=\left[ \begin{matrix}    \frac{1}{2} & \frac{-1}{2} & \frac{1}{2}  \\    -4 & 3 & c  \\    \frac{5}{2} & \frac{-3}{2} & \frac{1}{2}  \\ \end{matrix} \right],\]  then the value of \[a-2c\] is _______.

    A)  0                                

    B)  1

    C)  2                                

    D)  3

    E)  None of these

    Correct Answer: D


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