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Logarithmic normMatrix normOrthogonal basisLinear relationEigendecomposition of a matrixOrthonormal basisCoordinate vectorOrthogonal polynomialsOrthogonal matrixRotation matrixOrthogonal transformationAlgebra over a fieldOuter productSchmidt decompositionOrthogonalizationLinear formFrobenius normal formLie algebraBilinear formSobolev spaceCharacteristic polynomialCoefficient matrixOrthogonal functionsCirculant matrixProjectionLinear algebraic groupMatrix decompositionOrthonormalityJacobian matrix and determinantTranspose of a linear mapOrthogonalityBilinear mapCross productPolarizationOrthogonal diagonalizationSpecial linear groupLinear differential equationStructure constantsBessel's inequalityPythagorean trigonometric identityCommutation matrixLinear mapFierz identityInverse function ruleClifford algebraMatrix determinant lemmaMatrix splittingSymmetric bilinear formTensor algebraMultilinear formPositive linear functionalLie algebra representationHilbert transformSchur product theoremSpecial linear lie algebraOrdinary differential equationOperator algebraCartesian tensorScalar multiplicationLogarithmic sobolev inequalitiesJacobi identityDual spaceTangential and normal componentsAbel's identityPolynomial matrixSingular value decompositionMatrix pencilTensor productFrobenius inner productAbsolute valueEuclidean vectorSpectral theoremConjugate gradient methodProduct ruleBounded inverse theoremAdjoint representationConnectorPolar decompositionMatrix analysisSimons' formulaPolar coordinate systemFrameQuadratic formSesquilinear formOsculating planeMatroidCramer's ruleLaplace expansionField normMultiplication of vectorsPoisson summation formulaGeneralizations of pauli matricesTraceNewton's identitiesIsserlis' theoremTensor product of representationsHodge star operatorGraph fourier transformRotational invarianceIndefinite orthogonal group