- #1
DanielFaraday
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Homework Statement
If S = {v1, v2, v3} where v1, v2 and v3 are in [itex]\mathbb{R}^2[/itex], then the vectors v1, v2 and v3 are linearly independent.
Homework Equations
None
The Attempt at a Solution
I thought the answer was true, but I know the correct answer is false and I'm not sure why. Here was my reasoning for true:
If this implies that these three vectors span [itex]\mathbb{R}^3[/itex], then they must be linearly independent. If they weren't, then they would only span [itex]\mathbb{R}^2[/itex] or [itex]\mathbb{R}^3[/itex] space.
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Hootenanny
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