Question: (Calculus Required) Let V be the vector space of continuous functions with basis {et, e-t}. Let L : V V be defined by L(g(t))

(Calculus Required) Let V be the vector space of continuous functions with basis {et, e-t}. Let L : V → V be defined by L(g(t)) = g'(t) for g(t) in V. Show that L is diagonalizable?

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