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EigendecompositionMatrix decompositionRank factorizationCoefficient matrixSingular value decompositionCharacteristic polynomialLu decompositionGraph fourier transformOrthogonal diagonalizationEigenspaceCommutation matrixQr algorithmOrthogonalizationOrthogonal matrixRow echelon formMatrix splittingRotation matrixJacobi eigenvalue algorithmMatrix algebraFrobenius normal formEigenvectorEigenvalue perturbationQr decompositionMatrix analysisGeometric multiplicityLinear relationCoordinate vectorMatrix multiplicationLie algebra representationLinear algebraic groupDiagonalisationInverse matrixAffine combinationFactorization of polynomialsEigenfunctionSchur decompositionProjectionTransformation matrixEigenvalueLinear algebraMatrix normInvertible matrixTranspose of a linear mapCholesky decompositionEigenvalues and eigenvectorsTracePolarization identityUnitary matrixJacobian matrix and determinantPolynomial matrixMatrix exponentialConvex combinationCartan decompositionPolar decompositionPower iterationRow and column spacesLinear spanSymmetric matrixBlock lu decompositionCartesian tensorSchmidt decompositionAugmented matrixSpectrumElementary matrixMatrixOrthogonal basisCentrosymmetric matrixStructure constantsSpectral theoremScalar multiplicationSpecial linear groupLaplace expansionAdjugate matrixInner productGaussian eliminationTransposeSpecial linear lie algebraOrthonormalizationRankOrthogonal transformationProjection matrixHermite normal formOrthogonal complementInteger factorizationRepresentation theoryOuter productLinear differential equationPseudo-determinantSpectral graph theoryAdjoint representationMain diagonalIdentity matrixEmpirical orthogonal functionsMultilinear formLinear mapGeneral linear groupMatrix calculusScalar productConjugate gradient methodCirculant matrix