JEE Main 201815 Apr, Morning shiftMathematicsHardMatrices and Determinants245× since 2002Let AAA be a matrix such that A.[1203]A.\left[ {\matrix{ 1 & 2 \cr 0 & 3 \cr } } \right]A.[1023] is a scalar matrix and |3A| = 108. Then A² equals :AOption A. [4−32036]\left[ {\matrix{ 4 & { - 32} \cr 0 & {36} \cr } } \right][40−3236]BOption B. [360−324]\left[ {\matrix{ {36} & 0 \cr { - 32} & 4 \cr } } \right][36−3204]COption C. [40−3236]\left[ {\matrix{ 4 & 0 \cr { - 32} & {36} \cr } } \right][4−32036]DOption D. [36−3204]\left[ {\matrix{ {36} & { - 32} \cr 0 & 4 \cr } } \right][360−324]CheckSkip · show solution
