Determine if the set of vectors S={(1,2,3),(0,1,1),(2,5,7)}S = \{ (1, 2, 3), (0, 1, 1), (2, 5, 7) \}S={(1,2,3),(0,1,1),(2,5,7)} is linearly independent in R3\mathbb{R}^3R3.
Yes, they are linearly independent.
No, they are linearly dependent.
They form a basis for R3\mathbb{R}^3R3.
The span is R2\mathbb{R}^2R2.