What are the possible subspaces of $V$ when $dim(V)=1$?
74465
One-dimensional vector space and it's subspaces
92291
$U_1, U_2, ..., U_k$ subspaces of linear space $X$ with same dimensions, prove $X=U_1\oplus V=U_2\oplus V=...=U_k\oplus V$
98949
Subspaces and annihilators
67191
When is the union of a family of subspaces of a vector space also a subspace?
85239
Proof $dim(W)=dim(V)=n \implies W=V$
125184
Why $\dim(\hom(V,W))=\dim(V) * \dim(W)$?
120641
Intersection of three vector subspaces
64353
Does the set of matrix commutators form a subspace?
125623
Subspaces of separable normed spaces
104578
Suppose that $V$ is a vector space, and $W$ is a subspace of $V$. If $V$ is finite dimensional, then prove $W$ too must be finite dimensional.
28819
A union of two subspaces not equal to the vector space.
141794
Invariant subspaces of specific dimension
18373
Can infinite-dimensional vector spaces be decomposed into direct sum of its subspaces?
4319
Vector space can be written as direct sum of subspaces
68006
Find the dimensions of some kernel subspaces of $\operatorname{Hom}(V, W)$.
94929
Proof that the all bases of a subspace V consist of the same number of vectors?
41013
Subspace of $C^3$ that spanned by a set over C and over R