Question: Let V be a finitely generated vector space and TE C(V). Show that there is some k 2 0 and scalars do, 01, . .

Let V be a finitely generated vector space and TE C(V). Show that there is some k 2 0 and scalars do, 01, . . . , ax not all zero such that aol +aT + a,T2 + - - - +a,T* = Z, where Z is the zero function, so that Z (x) = 0 for all x E V

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