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let T: P3(R) goes to P3(R) be defined by T(f(x))= xf'' (x) + f'(x). Show that...

let T: P3(R) goes to P3(R) be defined by T(f(x))= xf'' (x) + f'(x). Show that T is a linear transformation and determine whther T is one to one and onto.
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