For the given linear transformation T, find [T]s, the rank of T, the inverse of [T]s,...

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For the given linear transformation T, find [T]s, the rank of T, the inverse of [T]s, and use [T] to construct T-1. T: P2((R)) P(R), T(f(x)) = f(x)+2f'(x) f(x), 8 = {1,2,x2} For the given linear transformation T, find [T]s, the rank of T, the inverse of [T]s, and use [T] to construct T-1. T: P2((R)) P(R), T(f(x)) = f(x)+2f'(x) f(x), 8 = {1,2,x2}