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Orthonormal basisOrthogonalizationOrthogonal functionsOrthogonal matrixOrthonormalityOrthogonal complementOrthogonalityOrthogonal transformationOrthogonal diagonalizationCartesian tensorOrthonormalizationBasisCoordinate vectorOrthogonal polynomialsAlgebra over a fieldOuter productFrameMatrix normChange of basisMultilinear formCoefficient matrixLinear relationLinear spanMatrix decompositionRotation matrixMatrix multiplicationPolarization identityLinear algebraic groupBilinear mapStructure constantsBasis functionBilinear formProjectionDualCentrosymmetric matrixOrthogonal trajectoryPolynomial matrixOrthogonal groupLinear subspaceDimensionAffine combinationMatrix analysisMultilinear polynomialInner product spaceTranspose of a linear mapLattice reductionLinear functionalOrthodiagonal quadrilateralConvex combinationLinear mapSymmetric matrixSemi-orthogonal matrixHolonomic basisRow and column spacesMultilinear mapScalar multiplicationEigendecomposition of a matrixSystem of linear equationsComposition algebraCongruenceCharacteristic polynomialBialgebraLie algebraLinear transformationLinear algebraDual basisFrobenius inner productLinear independenceRankGeneral linear groupSymplectic vector spaceDual spaceInverse matrixEigenspaceIndefinite orthogonal groupRank factorizationInner productClifford algebraPolynomial basisPositive linear functionalSpecial linear lie algebraSymmetric bilinear formMatrix splittingTensor productQr decompositionMatrix polynomialSpecial linear groupDual systemBernstein polynomialSchur complementHermitian adjointUnitary matrixMatrix additionRepresentation of a lie groupBoolean matrixIsometryAffine groupMultiplication of vectorsInvertible matrixTransformation matrix