uppose 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 = <1,−1,2> U2 = <−3,3,−6> U3 = <2,1,5> W = <−7,−2,−17> T(U1) = <−15,2> T(U2) = <45,−6> T(U3) = <−20,−6> T(W) = ???