Question: Independence Day: Decide whether the set S is a linearly independent subset of the given vector space V? 1. V = R2; S = {[1,

Independence Day: Decide whether the set S is a linearly independent subset of the given vector space V?
1. V = R2; S = {[1, -1], [-1, 1]}
2. V = R2; S = {[1, 1], [1, -1]}
3. V = R3; S = {[1, 0, 0], [1, 1, 0], [1, 1, 1]}

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