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Let B= { 1+x, x+x^2, 1+x^2} be an ordered basis of P2. And let B' be the standard basis of P2.
Find the coordinate vector of p(x) = 1+2x-x^2 with respect to B. Please show steps.
Solution
2+2x i +0 j+0 k
2+2[1+x]i
[4+2x ]i

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  • 1. Let B= { 1+x, x+x^2, 1+x^2} be an ordered basis of P2. And let B' be the standard basis of P2. Find the coordinate vector of p(x) = 1+2x-x^2 with respect to B. Please show steps. Solution 2+2x i +0 j+0 k 2+2[1+x]i [4+2x ]i