1. Let u = , U2 = , U3 = 3 (a) Find the transition matrix...

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1. Let u = , U2 = , U3 = 3 (a) Find the transition matrix corresponding to the change of basis from E = [e1 e2 e3] to U = [u u2 u3]. (b) Find the coordinates of each of the following vectors with respect to the basis u: (i) (ii) 2. Find the transition matrix representing the change of coordinates on P3 for the ordered basis = [1, x, x] to the ordered basis D = [1, 1+x, 1+x+x]. 1. Let u = , U2 = , U3 = 3 (a) Find the transition matrix corresponding to the change of basis from E = [e1 e2 e3] to U = [u u2 u3]. (b) Find the coordinates of each of the following vectors with respect to the basis u: (i) (ii) 2. Find the transition matrix representing the change of coordinates on P3 for the ordered basis = [1, x, x] to the ordered basis D = [1, 1+x, 1+x+x].