3. For each of the following pairs of ordered bases ẞ and ẞ' for P2(R), find the change of coordinate matrix that changes ẞ'-coordinates into B-coordinates. (a) = {x2, x, 1} and 3' = {a2x² + a1x+ao, b2x² + b₁x + bo, c2x² + c₁x + co} (b) = {1, x, x2} and ẞ' = {a2x² + a1x+ao, b2x² + b₁x+b0, C2x² + c₁x + co} (c) ẞ= {2x2-x, 3x² + 1, x2} and B' = {1, x, x2} (d) ẞ = {x2x1,x1, x2 +1} and B' = {x²+x+4,4x² 3x + 2,2x²+3} (e) ẞ = 1 {x2x, x²+1, x- 1} and B' = {5x22x-3, -2x²+5x+5, 2x² - x - 3} (f) B = {2x² - x+1,x2+3x-2, -x² + 2x+1} and B' = {9x9, x² + 21x2, 3x²+5x+2}

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A:

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A:

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