3. Let P, be the vector space of polynomials of degree at most 2. Define a map D : P2 → P, it sends a polynomial to its derivative. (a) Show that D is linear. (b) Find the matrix of D with respect to the basis {1 – z,1+ 3r², 2+ z – r*}.

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A: NOTE: Refresh your page if you can't see any equations. . given polynomials are

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A: value of k is 0 see calculation below

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