QuestionLet T:R3→R3T:\mathbb{R}^3\to\mathbb{R}^3 be a linear transformation such that T(1,0,1)=(1,2,1)T(1,0,1)=(1,2,1), T(0,1,1)=(0,1,1)T(0,1,1)=(0,1,1), and T(1,1,0)=(1,1,0)T(1,1,0)=(1,1,0). Let U=span{(1,0,1),(0,1,1)}U=\operatorname{span}\{(1,0,1),(0,1,1)\}. Choose all correct options.
