Let u1 = (1, 1, 1)T , u2 = (1, 2, 2)T , u3 = (2, 3, 4)T .
(a) Find the transition matrix corresponding to the change of basis from {e1, e2, e3} to {u1, u2, u3}.
(b) Find the coordinates of each of the following vectors with respect to {u1, u2, u3}:
(i) (3, 2, 5)T (ii) (1, 1, 2)T (iii) (2, 3, 2)T
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