Question: Please provide detailed explanations. Thank you. Problem 9.3 Given a set 3 = {1 + t, 1 + t2, 1: + t2, t2 + t3},

Please provide detailed explanations. Thank you.

Problem 9.3 Given a set 3 = {1 + t, 1 + t2, 1: + t2, t2 + t3}, please rst prove that B is a basis of P3(t), a polynomial of 3ml order. Next, find the coordinate vectors for the following (1) P3(t) = 1 + t1 + t2 + t3 (2) 030:) = t t3

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