Let P2 denote the vector space of all polynomials in the variable x of degree less than or equal to 2. Let C = {-3, –1– x, -3 – 3x + 2x2} be an ordered basis for P2. a. Write –7+ 2x – 2x2 as a linear combination of elements from the basis C. -7+ 2x – 2x² (-3)+ (-1– x)+ (-3 – 3x + 2x2). b. Let [glc denote the coordinate representation of q relative to the basis C. Find the coordinate vector representation for 2x2 relative to the basis C. Your answer should be a vector of the general form <1,2,3>. -7+ 2x – [-7+ 2x – 2æ²]c =

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