Linear transformation of vectors

I am in a matrix and power series class and I need to figure out how to answer the following type of question. I have read and reread the procedure the book uses and am still unable to figure this type of problem out,

I need to find all vectors in R^2 that satisfy T(v) = [-2 12 -20] or show that no such vector exists. The linear transformation T: R^2 ---> R^3 has matrix

A = [ 1 -3 1 ] T

[ 2 -8 8]

Could someone please show me the steps to attack this with? Thanks very much, Frostking