9. Determine whether the set S spans \(\mathbb{R}^3\) or not (Justify your answer):
(i) \(S = \{(1, 0, 1), (1, 1, 0), (0, 1, 1)\}\).
(ii) \(S = \{(1, -2, 0), (0, 0, 1), (-1, 2, 0)\}\).
10. For which values of t is each set linearly independent?
(i) \(S \{ (t, 1, 1), (1, t, 1), (1, 1, t) \}\).
(ii) \(S = \{ (t, 1, 1), (1, 0, 1), (1, 1, 3t) \}\).