Is U union W necessarily a vector space?
11301
Union of two vector subspaces not a subspace?
66283
Let V be a vector space. If every subspace of V is T-invariant, prove that there exist a scalar multiple c such that T=c1v
124042
Why is a vector space equal to its tangent space for any point?
137873
Problems that involves two facts in the definition of vector spaces
72077
''Linear'' transformations between vector spaces over different fields .
19671
Does the "field" over which a vector space is defined have to be a Field?
133087
Prove that, if $\{u,v,w\}$ is a basis for a vector space $V$, then so is $\{u+v, v+w, u+v+w\}$.
47015
Vector Space Structures over ($\mathbb{R}$,+)
86325
Is an increasing union of subspaces a subspace?
69766
Is every normed vector space, an inner product space
74623
Associative rule of subspaces and vector spaces: $(U+V) \cap W = U + (V \cap W)$
117986
Are there linear transformations from vector spaces over different fields?
87692
Basis and dimension of vector space
151117
Are all fields vector spaces?
105014
Is the zero vector in $\mathbb{R}^n$ by itself a subspace of $\mathbb{R}^n$?
61718
Can a basis for a vector space be made up of matrices instead of vectors?
51397
If a field $F$ is such that $\left|F\right|>n-1$ why is $V$ a vector space over $F$ not equal to the union of $n$ proper subspaces of $V$