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

Question

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

Kunduz · Accepted Answer

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