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Determine a linear transformation T : P^(4) to P^(3) bt T (f(x))= f(0) + f ' (1)(x-1) + f ''(2)(x-2)^(2) + f '''(3)(x-3)^(3). Findthe matrix representation for T relative to the standard basis {1,x, x^2, x^3, x^4} of R^4 and the reversed standard basis {x^3,x^2,x,1} of R^3.
