MathematicsHard244×since 2002Q4518Let A = \left( {\matrix{ 1 & 0 & 0 \cr 2 & 1 & 0 \cr 3 & 2 & 1 \cr } } \right). If u1{u_1}u1 and u2{u_2}u2 are column matrices such that Au1=(\matrix1\cr0\cr0\cr)A{u_1} = \left( {\matrix{ 1 \cr 0 \cr 0 \cr } } \right)Au1=(\matrix1\cr0\cr0\cr) and Au2=(\matrix0\cr1\cr0\cr),A{u_2} = \left( {\matrix{ 0 \cr 1 \cr 0 \cr } } \right),Au2=(\matrix0\cr1\cr0\cr), then u1+u2{u_1} + {u_2}u1+u2 is equal to :A(\matrix−1\cr1\cr0\cr)\left( {\matrix{ -1 \cr 1 \cr 0 \cr } } \right)(\matrix−1\cr1\cr0\cr)B(\matrix−1\cr1\cr−1\cr)\left( {\matrix{ -1 \cr 1 \cr -1 \cr } } \right)(\matrix−1\cr1\cr−1\cr)C(\matrix−1\cr−1\cr0\cr)\left( {\matrix{ -1 \cr -1 \cr 0 \cr } } \right)(\matrix−1\cr−1\cr0\cr)D(\matrix1\cr−1\cr−1\cr)\left( {\matrix{ 1 \cr -1 \cr -1 \cr } } \right)(\matrix1\cr−1\cr−1\cr)Check answerSkip