Let u1 = (1, 1, 1)T , u2 = (1, 2, 2)T , u3 = (2, 3, 4)T . (a) Find the transition matrix

Chapter 3, Problem 5

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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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