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

Recall P2(t) is the set of polynomials of order less than or equal 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 of basis matrices PE→B and PB→E

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

Expert Solution

Colby Messinger answered 2 years ago

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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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