Consider the set S={(1,0,1),(0,1,1),(1,1,0)}S = \{ (1, 0, 1), (0, 1, 1), (1, 1, 0) \}S={(1,0,1),(0,1,1),(1,1,0)} in R3\mathbb{R}^3R3. Are these vectors linearly independent?
Yes, they are linearly independent.
No, they are linearly dependent.
They span only a 1D line.
They cannot span R3\mathbb{R}^3R3.