This problem was on one of my tests, but I can't find any similar problems in the book or in HW to help me figure it out, and I'm crap at using the book to help solve problems

Let t : R2 -> R3 be defined as T(x) = [x1,x1+x2,0] , also let b = [1,1,1]

A. Find the standard matrix for T

B. Is T a linear transformation?

C. Is b in the range of T?

D. Is T onto, or one-to-one?