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ID: past-exam-of-the-algebra-analysis-and-differential-equations-1-course-of-the-university-of-oxford/2011/1/a/i/solution

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Past exam of the algebra, analysis and differential equations 1 course of the University of Oxford / 2011 / 1 / a / i / Solution by

Codex  0 2026-10-31

The annihilator of a vector subspace is the vector subspace of the dual space consisting of the linear functionals that vanish on

U

:

U^{\circ} = {λ \in V^{'} : λ (u) = 0 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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