How to prove $\operatorname{Span}(\operatorname{Span}(S)) = \operatorname{Span}(S)$
106059
$[S]$ means linear span of S. Then $[S] = [[S]]$
138069
Proof that $\bigcap_{a\in A} \bigg(\, \bigcup_{b\in B} F_{a,b} \, \bigg) = \bigcup_{f\in ^AB} \bigg(\, \bigcap_{a \in A} F_{a,f(a)}\,\bigg) $
76188
Show $(W_1 + W_2 )^\perp = W_1^\perp \cap W_2^\perp$ and $W_1^\perp + W_2^\perp ⊆ (W_1 \cap W_2 )^\perp$
83970
Proof of an elementary property of Projection Operators
80892
Does $\wp(A \cap B) = \wp(A) \cap \wp(B)$ hold? How to prove it?
117688
Prove that $\def\Aut{\operatorname{Aut}}\Aut(\mathbf{Z_{n}})\simeq \mathbf{Z_{n}^{*}}$
50130
$\operatorname{Aut}(V)$ is isomorphic to $S_3$
63036
Proving that $\dim(\mathrm{span}({I_n,A,A^2,...})) \leq n$
87494
$\operatorname{rank}(T^3) + \operatorname{rank}(T) \geq 2\operatorname{rank}(T^2)$ for finite-dimensional $V$
36878
Prove that $\operatorname{SL}(n,\Bbb R)$ is connected.
149801
prove that $TS = ST$
75604
Proof that $\partial(A\times B) = ((\partial A)\times B)\cup (A\times(\partial B))$
84871
Determining the dimension of span$\{AB-BA : A,B \in M_{n \times n}(\mathbb R) \}$
94077
Proof of linear independence of $e^{at}$
70475
Proving a basis for inner product space V when $||e_j-v_j||< \frac{1}{\sqrt{n}}$.
41520
Prove that $L(V,W)$ forms a vector space
110669
Linear span of the empty set