Solution Found!
Let W be a subspace of a (not necessarily finite-dimensional) vector space V. Prove that
Chapter 1, Problem 4(choose chapter or problem)
QUESTION:
Let W be a subspace of a (not necessarily finite-dimensional) vector space V. Prove that any basis for W is a subset of a basis for V.
Questions & Answers
QUESTION:
Let W be a subspace of a (not necessarily finite-dimensional) vector space V. Prove that any basis for W is a subset of a basis for V.
ANSWER:Step 1 of 3
If is andimensional vector space and if is a linearly independent set then we can extend to as a basis for V.