L(p(x)) = 6p' – 3p" maps P, 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...

Extracted text: L(p(x)) = 6p' – 3p" maps P, 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) = 6x3 8x and g(x) = x² + 10. [L(p(x)))F = [L(g(x)))F =