Span of a set is a subspace of a span of another set
7462
If X and Y are two sets of vectors in a vector space V, and if X $\subset$ Y, then is span X $\subset$ span Y?
107389
Show that the vector space of real functions is not finitely spanned
6547
Given $3$-dimensional subspaces $V, W \subset \Bbb R^5$, there is a nonzero vector in $V \cap W$
41611
Open and closed set in n by n matrices space.
121047
Proof: Sum of dimension of orthogonal complement and vector subspace
150135
The intersection of an infinite number of subspaces is a subspace
106756
Union and Intersection of Sets $A_{i}$ and $B_{j}$
4319
Vector space can be written as direct sum of subspaces
23372
Show that for an invertible matrix, the images of a set of vectors spanning the space also form a spanning set
60684
Determine whether the set $W$ is a subspace in $\mathbb{R}^{3}$
4717
The union of linear subspaces is not necessarily a subspace
76160
Dimension of the sum of two vector subspaces
102458
Subspace generated by permutations of a vector in a vector space
135814
Prove certain subsets of $\mathbb R^n$ are subspaces
83996
For any two sets $A,B$ , $|A|\leq|B|$ or $|B|\leq|A|$
79061
show that {$(x_1,x_2,x_3,x_4)\in\mathbb{F}^4$:$x_3=5x_4+b$} is a subspace
97049
If $v_1,...,v_m$ are linearly independent, then the span $v_1+w,...,v_m+w$ has dimension $\ge m-1$