Hi, Suppose T is a linear map from R^2 to R^3 and it satisfies T(1,1) = (1,1,0) and T(2,3) = ( -1,2,1). What is the matrix T and the formula for T(x,y)?

My troubl with this question is that I cant seem to find a 3 by 2 matrix such that when multiplied by (x,y) gives both vectors in R^3 as above