Linear Algebra Done Right · Problem 6C.1

Operators on Inner Product Spaces — Sheldon Axler

Mathematics — Linear Algebra · orthogonal-complements

Problem

Suppose v1,…,vm∈Vv_1, \ldots, v_m \in V. Prove that {v1,…,vm}⊥=(span⁡(v1,…,vm))⊥.\{v_1, \ldots, v_m\}^\perp = (\operatorname{span}(v_1, \ldots, v_m))^\perp.

Related theory

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