1. Let L=(v1,,vn) be a list of vectors in V. Prove that if each element of L has a unique L-representation, then L is linearly independent. 2. Determine if the following list of polynomials in P3(R) is linearly independent or linearly dependent: K=(x3+3x2+4x+2,2x3x+4,11x3+15x2+17x2).

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