Question: 9. Let V be the vector space of all functions f: RR. (Note that there are no continuity assumptions on f.) Let T: VV:

9. Let V be the vector space of all functions f: RR.

9. Let V be the vector space of all functions f: RR. (Note that there are no continuity assumptions on f.) Let T: VV: f(x) (a) Show that T is a linear transformation. (b) Show that every real number is an eigenvalue of T. xf(x).

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