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  3. let t? l(v), and let p ? p(f) be a polynomial. sho

Let T? L(V), and let p ? P(F) be a polynomial. Show that if p(?) is...

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Advance Math

Let T? L(V), and let p ? P(F) be a polynomial. Show that if p(?)is an eigenvalue of p(T), then ? is an eigenvalue of T. Under theadditional assumption that V is a complex vector space, andconclude that {? | ? an eigenvalue of p(T)} = {p(?) | ?aneigenvalue of T}.

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