Suppose T:R2→R3 is a linear transformation. Three vectors U1​,U2​ and U3​ are given below together with their images by T. Find T(W) for the given vector W.

U1​=[1 1​] ; U2​=[3 3​] ; U3​=[1 2​] ; W=[0 2​] ; T(U 1​)= [​6 6 7​]