2. Consider the bases & = {1, t, t²} and B = {1+t,t+t², t2} for P2 and the linear transformation T: P2 P2 defined by T(p(t)) = t p'(t), where p'(t) is the derivative of p(t). We know that the two matrix representations [T] and [T]B are similar; that is [T]B = P¹[T]EP for some invertible matrix P. What is P?

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