Let T P3 P3 be defined by Find the inverse of T. -1 T−¹ (ax² + bx + c) = ☐ T(ax² + bx + c) = (4a + b)x² + -3a +56 + c)x - a. The linear tranformation L defined by maps P4 into P3. (a) Find the matrix representation of L with respect to the bases L(p(x)) = 9p' + 10p" E = = {x³, a ³, 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) = 6x³ + 5x and g(x) = x² + 13. [L(p(x))]F = [L(g(x))]F =