Let V = P² be the vector space of polynomials of degree at most 2, and let B be the basis {f1, f2, f3}, where fi (t) = t? – 2t + 1 and f2(t) = 242 – t – 1 and f3(t) = t. Find the coordinate vector [t² – 2]B (which expresses t² – 2 in terms of the chosen basis vectors).

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