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  3. let t : pn → r be defined by t(p(x)) = the

Let T : Pn → R be defined by T(p(x)) = the sum of all...

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Basic Math

Let T : Pn → R be defined by T(p(x)) = the sum of all the thecoefficients of p(x). Show that T is a linear transformation withdim(ker T) = n and conclude that {x − 1, x2 − 1, . . . , x^n − 1}is a basis of ker T.

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