The linear tranformation L defined by L(p(x)) = -5p' - 15p" maps P4 into P3. (a) Find the matrix representation of L with respect to the ordered bases E = {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) = -7x³- 11x and g(x) = x² + 13. [L(p(x))]F = [L(g(x))]F= =

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