Problem 3. Suppose the vector space V = P3, given the following four polynomials 1+13, 1+t, -t+2t2, 1+12. Can we use them as a basis set of V? If so, find the coordinates of f(t) = 3+t+3t2+2t3 under this basis set.

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A: Thanks for the question :)And your upvote will be really appreciable ;) To understand this problem,…

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A: answer is in next step. please give a like!!!!

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A: Explanation of the solution is given below...

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