Question: Problem 1: (20 points) Let T : R* R3 be the linear transformation such that 7((2,0,0,0)) = (1,1,1), T((2,1,0,0)) = (2,2,1), T((0,0,1,0)) = (3,3,2) and

Problem 1: (20 points) Let T : R* R3 be the linear transformation such that 7((2,0,0,0)) = (1,1,1), T((2,1,0,0)) = (2,2,1), T((0,0,1,0)) = (3,3,2) and T((0,0,-1,1)) = (0,0,-1) a) (10 points) Find the standard matrix A for 7. b) (5 points) Is T one-to-one? Explain. ) (5 points) Determine if T is onto, if not describe the equations satisfied by the vectors in the range of T

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