KnowraOrthonormal basisLinked fromLinked fromThe 17 pages that link to Orthonormal basis, each with the reason it gives.All 17Broader topic 5Related 12Basis (linear algebra)Broader topic: It adds geometric structure that makes coordinates and projections simpler.Linear independenceBroader topic: This specially structured independent set makes coordinates and projections especially simple.OrthogonalityBroader topic: Coordinates in this basis can be computed by inner products with its vectors.Orthogonal matrixBroader topic: The columns of an orthogonal matrix form an orthonormal basis.Bessel's inequalityBroader topic: Completeness makes the coefficient bound sharp as Parseval equality.