3. Consider the bases B = {u1, U2, U3} and B' = {uí, us, ug} for R3, where u =1! U2 = -1, uz = | ...

3. Consider the bases B = {u1, U2, U3} and B' = {uí, us, ug} for R3, where u =1! U2 = -1, uz = | 2 [ 3] [ 1] [-1 u = | 1l, us = | 1], u = | 0 [-5] L-3] L 2 (a) Find the transition matrix B to B'. (b) Compute the coordinate vector [w]b, where [-5 W = 8 1-5 and use (12) to compute [w]B'. (c) Check your work by computing [w]b: directly.