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  3. 15 points let denote the vector space of all polyn

15 points Let denote the vector space of all polynomials in the variable x of...

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Algebra

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15 points Let denote the vector space of all polynomials in the variable x of degree less than or equal to 2 Let 1 3 3x 2 3x x be an ordered basis for a Write 8 x as a linear combination of elements from the basis 8 x 3 3x 2 3x x b Let q denote the coordinate representation of q relative to the basis Find the coordinate vector representation for 8 x relative to the basis Your answer should be a vector of the general form 1 2 3 8 x 1

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