Prove $U^0\cap W^0=(U+W)^0$
88841
annihilator linear algebra
10477
Finding the closure of A=$\mathbb Q \cap [0,1]$.
21553
Prove that $\nabla_{\mathrm X} \mbox{tr} (\mathrm A \mathrm X^{-1} \mathrm B) = - \mathrm X^{-\top} \mathrm A^\top \mathrm B^\top \mathrm X^{-\top}$
43310
Proving $A\cap(B-C)$ is equal to $(A\cap B)-(A\cap C)$
123890
Show $A\setminus (A\cap B)=(A\cup B)\setminus B$
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) $
77891
$(U\circ T)^{*} = T^{*}\circ U^{*}$
76188
Show $(W_1 + W_2 )^\perp = W_1^\perp \cap W_2^\perp$ and $W_1^\perp + W_2^\perp ⊆ (W_1 \cap W_2 )^\perp$
53610
What is the difference between $Q=\Delta U+W$ and $\Delta U=Q+W$?
55488
Proving that $\operatorname{codim}(X,Y)=\dim(\mathcal{O}_{X,\eta})$
118049
Show that $\mathbb{R}^{\mathbb{R}} = U_{e} \oplus U_{o}$
5526
Prove that $ℤ[i]^*= \{1,-1,i,-i\}$
60707
Show that if $ \ A \cup B = A$ and $ \ A\cap B = A$ then $ \ A = B$
54737
Proof that $V = \sum_k U_k$ and $\dim V=\sum_k \dim U_k$ implies $V=\oplus_k U_k$
74623
Associative rule of subspaces and vector spaces: $(U+V) \cap W = U + (V \cap W)$
95513
Proving $W$ is a subspace of $P_{2}$
138199
Proof explanation $A\setminus B = A \setminus B \cap A$