- #1

- 699

- 5

_{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.