Linear help

1 2 1 3 5 1 3. Let 771 = 3 7 172 = 7 7 '5}, = 72 and 1171 = 71 7 1172 = 4 , H73 2 0 4 8 3 2 1 2 Let R3 e R3 be the linear transformation satisfying T071) 2 161, T (v2) = 102, T013) 2 163. 0 Let E = 0 . Find T (Z) (Hint: you need to write 5 as a linear combination of 771, g, 173 1 (ShOVV your work!) and use the linearity of T). {4 points)