Question: need answer asap, with proper working. 6. (20 points) Let T : P2 - P2 be the linear transformation given by T(f(x)) = 2xf (x)

need answer asap,

with proper working.

6. (20 points) Let T : P2 - P2 be the linear transformation given by T(f(x)) = 2xf (x) +x'f (x) + 3f(x) Let B = {1, (x+1), (x+1)2} and B = {1, (x - 1), x } be bases for the domain and codomain of 7, respectively. Find the matrix M of T with respect to B and B

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