Question: The Base for the Space: Determine whether or not the set S in each of Problem 1-3 is a basis for the specified vector space

The Base for the Space: Determine whether or not the set S in each of Problem 1-3 is a basis for the specified vector space v?
1. V = R3; S = {[1, 0. 0]. [0. 1, 0]}
2. V = R3; S = {[1, 0, 1], [1, 1, 0], [0, 1, 1]}
3. V = R3; S = {[1, 0, 0] [0, 1, 0], [0, 1, 1], [1, 1, 0]}

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