PassageBased on the above data, answer the given subquestions. Let T:R3→R3T:\mathbb{R}^3\to\mathbb{R}^3 be the linear transformation determined by T(1,0,0)=(1,0,4)T(1,0,0)=(1,0,4), T(1,1,0)=(−2,3,1)T(1,1,0)=(-2,3,1), and T(0,0,1)=(1,−1,1)T(0,0,1)=(1,-1,1).