JEE Main 2012Annual, Paper 1MathematicsHardMatrices and Determinants245× since 2002Let A=(100210321)A = \left( {\matrix{ 1 & 0 & 0 \cr 2 & 1 & 0 \cr 3 & 2 & 1 \cr } } \right)A=123012001. If u1{u_1}u1 and u2{u_2}u2 are column matrices such that Au1=(100)A{u_1} = \left( {\matrix{ 1 \cr 0 \cr 0 \cr } } \right)Au1=100 and Au2=(010),A{u_2} = \left( {\matrix{ 0 \cr 1 \cr 0 \cr } } \right),Au2=010, then u1+u2{u_1} + {u_2}u1+u2 is equal to :AOption A. (−110)\left( {\matrix{ -1 \cr 1 \cr 0 \cr } } \right)−110BOption B. (−11−1)\left( {\matrix{ -1 \cr 1 \cr -1 \cr } } \right)−11−1COption C. (−1−10)\left( {\matrix{ -1 \cr -1 \cr 0 \cr } } \right)−1−10DOption D. (1−1−1)\left( {\matrix{ 1 \cr -1 \cr -1 \cr } } \right)1−1−1CheckSkip · show solution
