Question: Check if the following two sets S 1 , S 2 are basis for P 2 (F): S 1 = {1-2x-2x 2 , -2+3x-x 2

Check if the following two sets S1, S2 are basis for P2(F):

S1 = {1-2x-2x2, -2+3x-x2, 1-x+6x2}

S2 = {-1+2x+4x2, 3-4x-10x2, -2-5x-6x2}

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