(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Consider the linear function F : P_{4}-> R^{5}

that sends the basis {1,x,x^{2},x^{3},x^{4}} of P_{4}to the basis {e_{1},e_{1},e_{3},e_{4},e_{5}} in R^{5}, in that order , that is F(x^{n})= e_{(n+1)}).

(a) Is this function an isomorphism?

(b) Consider the linear function D : P_{4}-> P_{4}

p(x)->p'(x)

Find the matrix of the linear function T : R^{5}-> R^{5}such that

(T o F)p(x) = (F o D)p(x)

2. Relevant equations

3. The attempt at a solution

I solved for part a, but i have no idea how to start on part b

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# Find matrix of the linear function

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