Consider the following. P(x) = 5 + 4x, B = {1 + x, 1 – x}, C = {4x, 5} in P1 (a) Find the coordinate vectors [p(x)]g and

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Consider The Following P X 5 4x B 1 X 1 X C 4x 5 In P1 A Find The Coordinate Vectors P X G And 1 (71.21 KiB) Viewed 53 times

Consider the following. P(x) = 5 + 4x, B = {1 + x, 1 – x}, C = {4x, 5} in P1 (a) Find the coordinate vectors [p(x)]g and [P(x)]c of p(x) with respect to the bases B and C, respectively. [p(x)] B x 1 [p(x)) (b) Find the change-of-basis matrix P from B to C. Pc-B = - 19 (c) Use your answer to part (b) to compute [P(x)] c, and compare your answer with the one found in part (a). 1 [p(x)] с 1 (d) Find the change-of-basis matrix PB-C from C to B. PBaci = (e) Use your answers to parts (c) and (d) to compute [p(x)]g, and compare your answer with the one found in part (a). [p(x)) B x