Question: Let T be the transform from ????! (the vector space of second degree polynomials) into ! defined by, ????(???? ???? ) = ????(1) ????(2) ????(3)

Let T be the transform from ????! (the vector space of second degree

polynomials) into ! defined by,

????(???? ???? ) =

????(1)

????(2)

????(3)

(where the prime denotes the derivative.) Show that T is a linear transformation.

Is T an isomorphism?

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