Determine whether the following sets are bases for the given vector spaces. Either prove that the set is a basis or explain why it is not. (If you know the dimension of the given vector space, you may use that information without have to prove it. (a) B = {(-1,0, 3), (1, 2, 0), (3, 2, 1), (1, 1,3)}; for R³. (b) B = {(1,2,3,0), (−1, 2, 2, 4), (0, 4, 6, 7)}; for R4. (c) B = {5,x1,x²+x+1}; for P₂. (d) B = {(1,2,3), (2, 10, 0), (5, 22, 3)}; for R³

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