JEE Main 20231 Feb, Evening shiftMathematicsMediumMatrices and Determinants245× since 2002If A=12[13−31]A = {1 \over 2}\left[ {\matrix{ 1 & {\sqrt 3 } \cr { - \sqrt 3 } & 1 \cr } } \right]A=21[1−331], then :AOption A. A30−A25=2I\mathrm{A^{30}-A^{25}=2I}A30−A25=2IBOption B. A30+A25−A=I\mathrm{A^{30}+A^{25}-A=I}A30+A25−A=ICOption C. A30=A25\mathrm{A^{30}=A^{25}}A30=A25DOption D. A30+A25+A=I\mathrm{A^{30}+A^{25}+A=I}A30+A25+A=ICheckSkip · show solution
