JEE Main 20198 Apr, Morning shiftMathematicsHardMatrices and Determinants245× since 2002Let A=(cosα−sinαsinαcosα)A = \left( {\matrix{ {\cos \alpha } & { - \sin \alpha } \cr {\sin \alpha } & {\cos \alpha } \cr } } \right)A=(cosαsinα−sinαcosα), (α\alphaα ∈\in∈ R) such that A32=(0−110){A^{32}} = \left( {\matrix{ 0 & { - 1} \cr 1 & 0 \cr } } \right)A32=(01−10) then a value of α\alphaα isAOption A. 0BOption B. π16{\pi \over {16}}16πCOption C. π32{\pi \over {32}}32πDOption D. π64{\pi \over {64}}64πCheckSkip · show solution