Consider the bases B = {p1, p2} and B = {q1, q2} for P1, where p1 = 6 + 3x, p2 = 10 +

Chapter 4, Problem 6

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Consider the bases B = {p1, p2} and B = {q1, q2} for P1, where p1 = 6 + 3x, p2 = 10 + 2x, q1 = 2, q2 = 3 + 2x (a) Find the transition matrix from B to B. (b) Find the transition matrix from B to B . (c) Compute the coordinate vector [p]B, where p = 4 + x, and use (12) to compute [p]B . (d) Check your work by computing [p]B directly.

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