The linear tranformation L defined by L(p(æ)) = -2p' – 6p" maps P4 into P3. (a) Find the matrix representation of L with respect to the ordered bases E = {x³, x², æ, 1} and F = {x² + x + 1, x + 1, 1} S (b) Use Part (a) to find the coordinate vectors of L(p(x)) and L(g(x)) where p(x) = -9x³ + 14x and g(x) = x² – 3. [L(p(x))]F = %3D [L(g(x))]F

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