Let x(adsbygoogle = window.adsbygoogle || []).push({}); _{1}, x_{2},...,x_{k}be linear independent vectors in a vector space V.

If we delete a vector, say x_{k}, from the collection, will we still have a linearly independent collection of vectors? Explain.

By deleting a vector from linearly independent span, the other vectors, I believe, will remain independent; however, I don't know how to prove it.

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# Homework Help: Linearly independent

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