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?
106487
Let $S$ and $W$ be subsets of a vector space $V$. Show that if $S$ is a subset of $W$, then $\mathrm{span}(S)$ is a subspace of $\mathrm{span}(W)$
133087
Prove that, if $\{u,v,w\}$ is a basis for a vector space $V$, then so is $\{u+v, v+w, u+v+w\}$.
120610
Find a subset of $S = \{(1, 0, i), (i, 2, -3), (2-i, 1+i, i)\}$ that forms a basis for $\textsf V = \operatorname{span}(S)$
87692
Basis and dimension of vector space
51434
What does the symbol $\subset\subset$ mean?
140668
Union of $2$ set $A, B$ where $ A$ is a subset of $B$
84871
Determining the dimension of span$\{AB-BA : A,B \in M_{n \times n}(\mathbb R) \}$
41080
If A, B, and C are set and $A \subset B ,B \subset C \rightarrow A \subset C$
60684
Determine whether the set $W$ is a subspace in $\mathbb{R}^{3}$
60309
Let X be a subset of {1,2,...,2014}...
41013
Subspace of $C^3$ that spanned by a set over C and over R
124325
Element of, subset of and empty sets
148025
Is there an operator for 'contained in set or subset or subset of subset' and so on?
51206
If $X$ and $Y$ are sets, their cartesian product $X\times Y$ is a set.
124786
Prove that V contains a subspace of each dimension
120344
Are there nontrivial vector spaces with finitely many elements?
8291
If $n$ vectors are linearly independent, is their span $\mathbb{R}^n$?