Mathematics · Linear Algebra
Which of the following sets of vectors forms a basis for the vector space ℝ3?
- 1S = {(1, 1, 2), (1, 2, 5), (5, 3, 4)}
- 2S = {(1, 2, 3), (1, 3, 5), (1, 0, 1), (2, 3, 0)}
- 3S = {(1, 1, 1), (1, 2, 3), (2, -1, 1)}✓
- 4S = {(1, 1, 1), (1, 0, 1)}
Correct answer
S = {(1, 1, 1), (1, 2, 3), (2, -1, 1)}
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