16.-Linear-Algebra-by-Kenneth-Hoffman · Problem 8.2.11
Inner Product Spaces
Mathematics — Linear Algebra · orthonormal-bases
Problem
Let V be a finite-dimensional inner product space, and let {α1,…,αn} be an orthonormal basis for V. Show that for any vectors α, β in V(α∣β)=k=1∑n(α∣αk)(β∣αk).