Let T: P? P? be the linear operator defined as T (p(x)) = p(3x), and...

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Algebra

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Let T: P? P? be the linear operator defined as T (p(x)) = p(3x), and let B = (1, x, x] be the standard basis for P?-Find [T]g, the matrix for T relative to B.Let p(x) = 1-x+4x. Determine [p(x)]g, then find 7(p(x)) using [7], from part a.Check your answer to part b by evaluating 7(1-x + 4x) directly.

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