The linear tranformation L defined by L(p(x)) = 12p' - 10p" maps P4 into P3. (a) Find the matrix representation of L with respect to the ordered bases S = E = {x³, x², x, 1} and F = {x² + x + 1, x + 1, 1} 31 (b) Use Part (a) to find the coordinate vectors of L(p(x)) and L(g(x)) where p(x) = − 12x³ + 9x and g(x) = x² + 8. [L(p(x))]F = [L(g(x))]F

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