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For this question let 3 = {2, x, 1} be the standard basis of P2, and let 3' = {x + 2,x+3,x+x+1} and 3

For this question let 3 = {2, x, 1} be the standard basis of P2, and let 3' = {x + 2,x+3,x+x+1} and 3" = {2x+x+1, 2, 2x +1}. (a) Find the change-of-coordinate matrices Pa, PB, PB-8". (b) Compute [p(r)] for the vector p(x) = 4x - x, by using [p(x)ls and one of the matrices of 5(a). (c) Find Pap" using the matrices of 5(a).

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a To find the changeofcoordinate matrices we need to express the basis vectors of 3 3 and 3 in terms ... blur-text-image

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