P2 with ordered basis B 1 {][][][]} 4. Let V given by = 0 1 L(p)...

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P2 with ordered basis B 1 {][][][]} 4. Let V given by = 0 1 L(p) = {1,x,x} and let W = R with ordered basis D Consider L: V p(1) - p(0) p(1) p(0) W 296009]. p(2) - p(0) p(2) p(0) (a) Prove that L is a linear transformation. (13pt.) (b) Find the matrix represantition of L relative to bases B and D. (12pt.) = P2 with ordered basis B 1 {][][][]} 4. Let V given by = 0 1 L(p) = {1,x,x} and let W = R with ordered basis D Consider L: V p(1) - p(0) p(1) p(0) W 296009]. p(2) - p(0) p(2) p(0) (a) Prove that L is a linear transformation. (13pt.) (b) Find the matrix represantition of L relative to bases B and D. (12pt.) =