14. Let P₂ be the vector space of polynomials of degree ≤ 2. Let D = {1 + t, 1 − 5t, 2 + t²}. Check that D is a basis of P₂. Let p(t) = 3+2t - 1-4t² Find the coordinate vector [P]g²

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A: The answer is given below:

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