Let Pk denote the vector space of all polynomials w… Show more Let P f ‘(x ) denote the derivative of f in P . Let Pk denote the vector space of all polynomials with degree less than or equal to k. Define a linear transformation T : P4 –> P3 by T (f(x)) = f(0) + f ‘(1)(x – 1) + f ”(2)(x – 2)^2 + f ”'(3)(x – 3)^3 . Find the matrix representation for T relative to the standard basis {1, x, x^2 , x^3 , x^4 } of R4 and the reversed standard basis {x^3 , x^2 , x, 1} of R3 . • Show less