Are the following sets linear independent: (a) {p(x)=3x+2x², q(x) = −2+x+2x², r(x) = x + x²} (b) {u1 (1,2,3), u₂ = (3, 2, 1), uz = (0, 4, 8)} = Which of the following sets span R³ (a) S = {(1,1,0), (0, 1, 1)} (b) S = {(1,0, 1), (0, 1, 2), (−1, −4, 2)} Check if the set S is basis for the given vector space V. (a) S = {1, x, x², 2x² + x − 2} and V = P₂. -1 (b) S = {S₁ = ( 2 − 2) こ - , S2 = (32) }, and V = M2,2.

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