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Recall P2(t) is the set of polynomials of order less than or equal to 2. Consider...

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Advance Math

Recall P2(t) is the set of polynomials of order less than orequal to 2. Consider the the set of vectors in P2(t).

B={t^2,(t?1)^2,(t+1)^2}

(a) Show B is a basis for P2(t).

(b) If E={1,t,t^2}is the standard basis, calculate the change ofbasis matrices PE?B and PB?E

(c) Given v= 2t^2?5t+ 3, find its components in B

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