3. For each of the following pairs of ordered bases 3 and ß' for P₂(R), find the change of coordinate matrix that changes '-coordinates into B-coordinates. (a) B = {x², x, 1} and B' {azæx +a1+ao,b2x +b1 + bo, c2x +c1+cỏ} (b) ß= {1, x, x²} and B' = {a2x +a1+ao, b2x +b1 + bo, C2 +c1+co} (c) _ß = {2x² − x, 3x² + 1,x²} and ß' = {1, x, x²} (d)_ß = {x² − x + 1,x+1, x² + 1} and ß' = {x² + x +4, 4x² 3x +2, 2x² + 3} (e) _ß = {x² − x, x² + 1, x − 1} and - = B' = {5x² · 2x −3,−2x² + 5x +5, 2x² − x − 3} -

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