There exists a vector space without a basis
110654
Vector Spaces and AC
131993
Prove that vector space and dual space have same dimension
151425
Does $\mathbb{R}^n$ have a real vector space structure with dimension other than $n$?
6547
Given $3$-dimensional subspaces $V, W \subset \Bbb R^5$, there is a nonzero vector in $V \cap W$
57310
Prove $\mathbb{Z}$ is not a vector space over a field
86362
Cyclic vectors in a real vector space
77036
Normed vector spaces over finite fields
72952
Uniqueness of a linear map on a basis of a vector space
48113
Find a basis for the vector space of symmetric matrices with an order of $n \times n$
13880
Example of vector space such that $cv = 0$ where $c \ne 0$ and $v \ne \vec{0}$
81229
Show that $(C([a,b]),\|{\cdot}\|_2)$ is not a complete normed vector space
26989
Show that C[0,1] is a vector space
37119
Determine Which of the following Sets is a Vector Space
29030
Vector space with new scalar multiplication defined over finite field still vector space?
114510
Inner Product Spaces
74128
Second exterior power of a complex vector space
151467
An infinite generating set of a finite dimensional vector space contains a basis