2. Consider the eld F = Z2.(a) Let V = F2. Is the subset S = f(0; 0); (1; 0); (1; 1)g a subspace of V ? Justify your answer.(b) Is the set S = f1; x; x2g linearly dependent or independent in P2(F)? Justify your answer.

2. Consider the eld F = Z2.(a) Let V = F2. Is the subset S = f(0; 0); (1; 0); (1; 1)g a subspace of V ?Justify your answer.(b) Is the set S = f1; x; x2g linearly dependent or independent in…