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(1 point) Let uz = (1, 2, 1), u, = (2,5,2), uz = (4,8,5). (a) Find the transition matrix corresponding to the change of basis from the standard basis B = {(1,0,0), (0,1,0), (0,0,1)} to B' — {uj, U2,1 2, uz} (b) Find the coordinate vector of each of the following vectors with respect to B' = {uj, u,, uz}. Remember to enter your response as a vector using angular brackets. (i) x = (2,0, -3), [x]B (ii) x = (1,1,1), [x]= (iii) x = (0,1,0), [x]B