Prove that the following is vector space
61220
What does "$\mathbb{F^n}$ is a vector space over $\mathbb{F}$" mean?
17495
Show that the vector space of all continuous real-valued functions is infinite-dimensional
19415
Proof that every finite dimensional normed vector space is complete
52596
A basis for $k(X)$ regarded as a vector space over $k$
62065
Prove that $v_1, \dots v_n$ is a basis of V.
124042
Why is a vector space equal to its tangent space for any point?
43503
Bases of complex vector spaces and the axiom of choice
44710
Vector space of real vectors over field complex scalars.
62303
For $V$ vector space of dimension $n$ under $\mathbb C$ and $T: V \to V $ linear transformation , show $V= \ker T^n \oplus $ Im $T^n$
154724
Every vector space has a basis
92510
Proving a vector space is infinite-dimensional
34272
Proving definition of norms induced by vector norms
91022
How do I prove that a subspace of a vector space $X$ is the null space of some linear functional on $X$?
146339
Proof of -(-v)=v in a vector space
15300
How to show that $(W^\bot)^\bot=W$ (in a finite dimensional vector space)
4374
Geometric interpretation of a vector space and subspace?
4240
The proof of Triple Vector Products