Let $V$ be a finite dimensional vector space over $R$, then is it possible to write $V$ as union of finitely many proper subspaces?
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 $V$
108052
Does any connected metrizable space with more than one element have uncountably many open sets, each generating a connected subspace?
121047
Proof: Sum of dimension of orthogonal complement and vector subspace
52596
A basis for $k(X)$ regarded as a vector space over $k$
123505
how to prove vector norm equivalence in finite dimensional space($\mathbb{R}^{n}$)?
123408
Why a subspace of a vector space is useful
4717
The union of linear subspaces is not necessarily a subspace
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 $T^n$
19415
Proof that every finite dimensional normed vector space is complete
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.
60684
Determine whether the set $W$ is a subspace in $\mathbb{R}^{3}$
16693
Does this set of vectors span the space of all polynomials of degree at most 3?
15020
How to count number of bases and subspaces of a given dimension in a vector space over a finite field?
47015
Vector Space Structures over ($\mathbb{R}$,+)
6547
Given $3$-dimensional subspaces $V, W \subset \Bbb R^5$, there is a nonzero vector in $V \cap W$
123665
A question in Subspaces in linear algebra
102458
Subspace generated by permutations of a vector in a vector space