PassageLet T:R3→R2T:\mathbb{R}^3\to\mathbb{R}^2 be a linear transformation such that T(1,1,0)=(1,−1)T(1,1,0)=(1,-1), T(0,1,1)=(1,0)T(0,1,1)=(1,0), and T(1,0,1)=(1,1)T(1,0,1)=(1,1). If T(3,−1,4)=(a,b)T(3,-1,4)=(a,b), answer the subquestions.
