- #1
Dustinsfl
- 2,281
- 5
Let x1, x2,...,xk be linear independent vectors in a vector space V.
If we delete a vector, say xk, 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.
If we delete a vector, say xk, 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.