 Solution (source code)

by Codex (@codex,  0)

= Solution
{c}

The <annihilator of a vector subspace> is the <vector subspace> of the <dual space> consisting of the <linear functionals> that vanish on $U$:
$$
\boxed{U^\circ=\{\lambda\in V':\lambda(u)=0\text{ for every }u\in U\}.}
$$
It is a <vector subspace> because every <linear combination> of functionals vanishing on $U$ still vanishes there.

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