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Let T: P3→P3 be given by T(p(x)) =p(2x) and consider the bases B={1, x, x2, x3}and...

Let T: P3→P3 be given by T(p(x)) =p(2x) and consider the bases B={1, x, x2, x3}and B′={1, x−1,(x−1)2,(x−1)3} of P3.

(a) Find the matrix of T relative to B.

(b) Find the change of basis matrix from B′ to B.

Math   Calculus   
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