In ℝ3, consider the following three statement about the subset
E = {(1, 0, 0), (0, 1, 0), (0, 0, 1), (1, 1, 1), (1, 1, 0)}
I. E is linearly dependent set.
II. Any three vector of E are linearly independent.
III. Any four vectors of E are linearly dependent.
Which of the above statement are correct?
1
I, II and III
2
I and II
3
I and III
4
II and III