Which of the following sets of vectors in ℝ3 are linearly independent?
I. [(1, 0, 0), (0, 1, 0), (1, 1, 0)]
II. [(1, 0, 0), (0, 1, 0), (0, 0, 1)]
III. [(0, 1, 0), (1, 0, 1), (1, 1, 0)]
IV. [(0, 0, 1), (0, 1, 0), (0, 1, 1)]
Select the correct answer using the codes given below
1
I and II
2
II and III
3
III and IV
4
I and IV