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Matrix decompositionSchmidt decompositionSchur complementMatrix splittingTriangular matrixMatrix analysisCartan decompositionSingular value decompositionLaplacian matrixQr decompositionCoefficient matrixSchur's theoremSchur polynomialEigendecomposition of a matrixEigendecompositionLeibniz formula for determinantsMatrix exponentialLinear algebraRotation matrixMatrix algebraMatrix calculusMatroidGraph fourier transformStrassen algorithmOrthogonalizationSchur product theoremBlock lu decompositionSylvester matrixLu decompositionOrthogonal diagonalizationCommutation matrixTransformation matrixInverse scattering transformHilbert matrixOrthogonal matrixMatrix multiplicationGeometric multiplicityMatrixSpecial linear lie algebraRepresentation theoryCharacteristic polynomialHeisenberg groupHankel matrixPolynomial matrixLie algebra representationTensor decompositionCholesky decompositionAdjacency matrixLie algebraStructure tensorPascal's triangleLinear transformationRank factorizationSchur's inequalityAlgebraic number theoryScalar fieldUnitary matrixBiconjugate gradient methodFrobenius inner productStochastic matrixTransfer matrixLevinson recursionLinear functionalAlgebraic graph theoryLinear algebraic groupHessian matrixLinear subspaceShear matrixLinear spanMatrix polynomialClifford algebraMultilinear formScalar multiplicationSchur multiplierBernstein polynomialAlgebra over a fieldProjection matrixInner productTraceMaschke's theoremSchubert calculusSymmetric matrixLegendre transformationIntersection theoryConjugate gradient methodMatrix sign functionTransposeSubmatrixMatrix normAlgebraic topologyQr algorithmAffine combinationModular decompositionMatrix ringJacobi methodOrthogonalityJacobian matrix and determinantKronecker productInverse matrixModular group