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  3. 9. let v be the vector space of all functions f: r

9. Let V be the vector space of all functions f: R R. (Note that...

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

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