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OpenStudy (anonymous):
Let P3 (R) be the vector space of polynomials over R of degree strictly less than 3. Let T: P3 (R) →P3 (R) be defined by T(f)= 2f ‘ (a) Show that T is a linear transformation (b) Find a basis for the kernel of T (c) Is T an isomorphism? Justify your answer.
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