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I am currently trying to understand linear independence and spanning sets. So the question that I have right now is, does a set of five linearly independent vectors always span

Edit: Sorry for the confusion, I really had no idea how to begin this problem. I guess I should have said that. I was pretty sure the answer was yes, but the reason why it is yes was a mystery.

**F**^5? Thanks for any help you can offer!Edit: Sorry for the confusion, I really had no idea how to begin this problem. I guess I should have said that. I was pretty sure the answer was yes, but the reason why it is yes was a mystery.

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