- #1
andytoh
- 359
- 3
Let B be a basis for a vector space V (with an uncountable dimension!) over a field F, and let K be a linearly independent subset of V. Prove that there exists a subset S of B such that K U S is a basis for V.
I had to struggle a bit for this one. But I think I got it.
I had to struggle a bit for this one. But I think I got it.