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5 points Let P denote the vector space of all polynomials in the variable of...

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Algebra

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5 points Let P denote the vector space of all polynomials in the variable of degree less than or equal to 2 Let C 1 1 x 1 3x x be an ordered basis for P2 a Write 4 x x as a linear combination of elements from the basis C 1 b Let g c denote the coordinate representation of q relative to the basis C Find the coordinate vector representation for 4 x x relative to the basis C Your answer should be a vector of the general form 1 2 3 4 x x c 4 x x 1 x 1 3x x

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