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Question: problem 21 a let in denote the vector space of...

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Problem 2.1. a) Let In denote the vector space of polynomials of degree at most n with real coefficients. Consider the map M :Π, 11n+2 u hich is a multiplication by t2 , ie, (Mp)(t) : t2pC), p € Πη. Determine If 1、1 18 a linear Tnap. b) Find the matriz representation of M in terms of the basis 1,t, 2,...tk of I, k EN

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