Annihilator of a vector subspace
= Annihilator of a vector subspace
For $U\leq V$,
$$
U^\circ=\{f\in V^*:f|_U=0\}.
$$
In finite dimensions, $\dim U^\circ=\dim V-\dim U$.
= Annihilator of a vector subspace
For $U\leq V$,
$$
U^\circ=\{f\in V^*:f|_U=0\}.
$$
In finite dimensions, $\dim U^\circ=\dim V-\dim U$.