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EigendecompositionEigen decompositionQr decompositionMatrix decompositionDiagonalisationBidiagonalizationTridiagonalizationDirect sumSpecial unitary groupDeterminantCharacteristic polynomialSingular matrixElementary matrixCoefficient matrixIdentity matrixEigenvectorMain diagonalDiagonal matrixInteger factorizationSpecial linear groupDiagonal elementInvertible matrixAntidiagonalScalar multiplicationDivision algebraGaussian eliminationUnitary matrixFactorizationMatrix algebraOrthogonal matrixLeft nullspaceStochastic matrixProper valueHankel matrixMinorToeplitz matrixUnit matrixSpectrumLeading diagonalSquare root decompositionEigenvalueAnti-diagonalEigenspaceVector productEigenstructureDefective matrixEigenpolynomialDesingularizationLinear subspaceMinimal polynomialGauss-jordan eliminationSylvester's formulaGeometric multiplicityScalar productUnique factorization ringFactoringLinear algebraRow echelon formSpectral theorySuperdiagonalNull matrixTridiagonalityRank-nullity theoremDimensionEigendataHermitian matrixDot productColumn vectorEigensolverLaplacian matrixScalar fieldEigenpicturePauli matrixReduced row echelon formLatin squareEigensolutionEigenpairCharacteristic rootColumn echelon formSubdiagonalUnique factorization domainEigengeneImmanantRankLinear formLinear independenceCharacteristic vectorLinear sumSymmetric matrixEigenscaleSylvester's criterionInner productStrassen algorithmLeft eigenvectorEigenprojectionPrime factorizationNumerical linear algebraDodgson condensationSymplectic matrixLeft eigenvalue