JEE Main 20199 Jan, Morning shiftMathematicsHardMatrices and Determinants245× since 2002If A=[cosθ−sinθsinθcosθ]A = \left[ {\matrix{ {\cos \theta } & { - \sin \theta } \cr {\sin \theta } & {\cos \theta } \cr } } \right]A=[cosθsinθ−sinθcosθ], then the matrix A^–50 when θ\thetaθ = π12\pi \over 1212π, is equal to :AOption A. [32−121232]\left[ {\matrix{ { {{\sqrt 3 } \over 2}} & { - {1 \over 2}} \cr {{{ 1} \over 2}} & {{{\sqrt 3 } \over 2}} \cr } } \right][2321−2123]BOption B. [12−3232−12]\left[ {\matrix{ {{1 \over 2}} & -{{{\sqrt 3 } \over 2}} \cr {{{\sqrt 3 } \over 2}} & {{{ - 1} \over 2}} \cr } } \right][2123−232−1]COption C. [3212−1232]\left[ {\matrix{ {{{\sqrt 3 } \over 2}} & {{1 \over 2}} \cr -{{1 \over 2}} & {{{\sqrt 3 } \over 2}} \cr } } \right][23−212123]DOption D. [1232−3212]\left[ {\matrix{ {{1 \over 2}} & {{{\sqrt 3 } \over 2}} \cr {-{{\sqrt 3 } \over 2}} & {{{ 1} \over 2}} \cr } } \right][21−232321]CheckSkip · show solution
