Linear Algebra Done Right · Problem 26

Polynomials — Sheldon Axler

Mathematics — Linear Algebra · annihilator-double

Problem

Suppose VV is finite-dimensional and Ω\Omega is a subspace of V′V'. Prove that Ω={v∈V:φ(v)=0 for every φ∈Ω}0.\Omega = \{v \in V : \varphi(v) = 0 \text{ for every } \varphi \in \Omega\}^0.

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