16.-Linear-Algebra-by-Kenneth-Hoffman · Problem 9.2.8
Operators on Inner Product Spaces
Mathematics — Linear Algebra · non-degenerate-forms-functionals
Problem
Let f be a non-degenerate form (Exercises 6 and 7) on a finite-dimensional space V. Let L be a linear functional on V. Show that there exists one and only one vector β in V such that L(α)=f(α,β) for all α.