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JEE Main & Advanced Mathematics Determinants & Matrices Question Bank Numerical Value Type Questions - Matrices

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    If \[A=\left[ \begin{matrix} \cos \theta  & -\sin \theta   \\ \sin \theta  & \cos \theta   \\ \end{matrix} \right],\] then the matrix \[{{A}^{-50}}\] when \[\theta =\frac{\pi }{12},\] is equal to \[\left[ \begin{matrix}    a & b  \\         c & d  \\ \end{matrix} \right],\] then the value of \[a+b+c-d\] is

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