Show that $\dim(U + V) = \dim(U) + \dim(V) - \dim(U \cap V)$
53633
Given two subspaces $U,W$ of vector space $V$, how to show that $\dim(U)+\dim(W)=\dim(U+W)+\dim(U\cap W)$
100161
Is it true that $\dim(X) \leq \dim(X^{\ast})$ for every infinite dimentional Banach space $X$?
131993
Prove that vector space and dual space have same dimension
41347
The dimension of the intersection of two vector subspaces
53364
dim$(V)$ = $n$, dim$(W)$ = $m$ $\implies$ dim($L(V,W)$) = $nm$
106408
Prove that if W is a subspace of a finite dimensional vector space V, then dim(W) ≤ dim(V).
128760
If $A$ and $B$ two $n\times n$ matrix such that $AB=BA$, then $\dim(A\cap B)$?
43504
Proving the existence of a complement subspace $U' \subset V$.
27564
Prove that $\|UVU^{-1}V^{-1}-I\|\leq 2\|U-I\|\|V-I\|$
82464
$U^*\otimes V$ versus $L(U,V)$ for infinite dimensional spaces
28416
Show that $\partial_\nu T^{\mu\nu} = - j_\nu F^{\mu\nu}$
71442
How to prove $\det(I+uv^\intercal)=1+v^\intercal u$
41520
Prove that $L(V,W)$ forms a vector space
12488
Show that $\frac{uu_x + vv_x}{u^2 + v^2}$ is harmonic.
121047
Proof: Sum of dimension of orthogonal complement and vector subspace
80892
Does $\wp(A \cap B) = \wp(A) \cap \wp(B)$ hold? How to prove it?
75002
show that $\det(A)=0$ in this case