Solved: Let L : P I --;. 1'2 be tX":fi ned by L (p (f )) = Ip(t ) + prO). Consider the

Chapter 6, Problem 10

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Let L : P I --;. 1'2 be tX":fi ned by L (p (f )) = Ip(t ) + prO). Consider the ordered bases S = {I. I} and S' = (f - I. I - I) for P I. and T =(t2.1.I}andT' = (12+ 1.1 - 1. I + I) for 1'2. Find the representation of L with respect '0 (a) 5 and T (b) 5' and T'. (c) Find L(-31-3) by using the definition of L and the matrices obtained in parts (a) and (b

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