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Orthogonal basisProjectionOrthogonalizationRotation matrixOrthogonal matrixOrthogonal diagonalizationInvariant subspaceLinear transformationLinear mapTranspose of a linear mapOrthogonal complementOrthonormal basisTensor algebraCartesian tensorOrthogonalityOrthogonal functionsOrthonormalityTransformation matrixLinear spanMultilinear formOrthonormalizationLinear relationProjection matrixContinuous linear operatorAlgebra over a fieldOuter productLinear subspaceLinear functionalTransposeEigenvectorTensor contractionCommutation matrixTensor reshapingAffine combinationSymplectic vector spaceGeometric transformationCoordinate vectorOrthogonal groupIsometrySymmetric matrixPolarization identityHilbert transformInner productBilinear formLinear algebraic groupBounded operatorRigid transformationIndefinite orthogonal groupTensor productMatrix decompositionCoefficient matrixBilinear mapEigendecomposition of a matrixQr decompositionLie algebraDualConvex combinationOrthogonal trajectoryEuclidean plane isometryAffine groupTensor decompositionSelf-adjoint operatorConformal groupLinear algebraEigenfunctionMatrix multiplicationRepresentation of a lie groupAdjoint representationEigenspaceScalar multiplicationSpecial linear lie algebraOrthogonal polynomialsLinear functionInverse matrixCharacteristic polynomialMultilinear mapGivens rotationAntilinear mapLinear operatorHermitian adjointAffine transformationHomomorphismMatrix normAlgebra homomorphismEigendecompositionLinear formConformal mappingOperator algebraSingular value decompositionTraceSchmidt decompositionFrameComposition algebraUnitary matrixRegular representationClifford algebraSymplectomorphismPositive linear functionalEigenvalueCentrosymmetric matrix