Linear Algebra Done Right · Problem 6A.1

Inner Product Spaces — Sheldon Axler

Mathematics — Linear Algebra · inner-products-and-norms

Problem

Prove or give a counterexample: If v1,…,vm∈Vv_1, \ldots, v_m \in V, then ∑j=1m∑k=1m⟨vj,vk⟩≥0.\sum_{j=1}^{m} \sum_{k=1}^{m} \langle v_j, v_k \rangle \geq 0.

Related theory

Browse the problem library