Question: Q3 3 (10 points). Let Coo be the vector space of all smooth (i.e., infinitely differentiable) real-valued functions on R. Define L : Co ->

3 (10 points). Let Coo be the vector space of all smooth (i.e., infinitely differentiable) real-valued functions on R. Define L : Co -> Coo by LIo](x) = xo' (x). Show that L is a linear map and find its eigenvalues. [Hint: Don't forget to check for smoothness

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