Suppose T: ℝ3→ℝ2 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 = 5,−3,2 U2 = 10,−6,4 U3 = 5,−3,3 W = −5,3,−4 T(U1) = 4,7 T(U2) = 8,14 T(U3) = 5,10 T(W) = ?,?,?