Inner product spaces

#inner product #axioms #dot product

#Cauchy-Schwarz #inequality #inner product

#orthogonal family #linear independence #proof

#Gram-Schmidt #orthonormal basis #algorithm

#orthogonal basis #Gram-Schmidt #polynomial space

#orthogonal complement #dimension #direct sum

#orthogonal matrix #isometry #inner product preservation

#triangle inequality #norm #inner product

#adjoint #linear map #inner product

#Bessel inequality #orthonormal family #projection

#distance #orthogonal projection #minimization

#orthogonal projection #subspace #orthonormal basis

#orthonormal family #basis #completion

#Parseval identity #orthonormal basis #norm

#self-adjoint #symmetric matrix #eigenvalues

#Fourier coefficients #trigonometric basis #orthogonal projection

#least squares #normal equations #orthogonal projection

#Legendre polynomials #orthogonal polynomials #inner product

#orthogonal projection #column space #normal equations

#Riesz representation #linear forms #inner product