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Question 4.(30 Points) Let P, be the space of all polynomials of degree at most 3. Let T: Ps-Ps be the transformation T(p)-p/. (derivative

Question 4.(30 Points) Let P, be the space of all polynomials of degree at most 3. Let T: Ps-Ps be the transformation T(p)-p/. (derivative of p) Is T linear? (Explain) Describe the image of T. Find a polynomial that spans the kernel of T.

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