The linear tranformation L defined by L(p(x)) = -13p' – 14p" maps P, into P3. (a) Find the matrix representation of L with respect to the ordered bases = {x³, x², x, 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) -4x° + 7x and g(x) = x2 – 11. [L(p(x))]F [L(g(x))]F

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