Which subsets are vector spaces of V?
37119
Determine Which of the following Sets is a Vector Space
18913
How to find a basis for the intersection of two vector spaces in $\mathbb{R}^n$?
106670
Existence of vector space complement and axiom of choice
92510
Proving a vector space is infinite-dimensional
94929
Proof that the all bases of a subspace V consist of the same number of vectors?
16693
Does this set of vectors span the space of all polynomials of degree at most 3?
67191
When is the union of a family of subspaces of a vector space also a subspace?
120535
Basis of the polynomial vector space
78833
Can a basis for a vector space $V$ can be restricted to a basis for any subspace $W$?
4319
Vector space can be written as direct sum of subspaces
124786
Prove that V contains a subspace of each dimension
88728
Dimensions of vector subspaces in a direct sum are additive
87692
Basis and dimension of vector space
54217
Let $V$ be a vector space. Determine all linear transformations $T:V \rightarrow V$ such that $T=T^2$.
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 $V$
61718
Can a basis for a vector space be made up of matrices instead of vectors?
52596
A basis for $k(X)$ regarded as a vector space over $k$