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Column echelon formEchelon formGaussian eliminationReduced row echelon formGauss-jordan eliminationElementary matrixRrefEigendecompositionRow-equivalenceToeplitz matrixLinear formCoefficient matrixCramer's ruleOrthogonal matrixEigen decompositionRankDiagonal elementGauss-seidel methodMatrixEntryHankel matrixDiagonal matrixRow vectorMatrix algebraQr decompositionDiagonalisationTransformation matrixAntidiagonalAugmented matrixMain diagonalTridiagonalizationSquare matrixUnit matrixTwo-formElliptopeNull matrixColumn vectorElementEigenvectorPivotLinear algebraSymplectic matrixInvertible matrixIdentity matrixMatrix decompositionRight eigenvalueSingular matrixDirect sumUnitary matrixTransposeLeading diagonalStrassen algorithmRow spaceSylvester's formulaDivision algebraPivot operationTrivial solutionLinear transformationStochastic matrixProjection matrixRight stochastic matrixSpectrumArrayLanczos algorithmNumerical linear algebraBidiagonalizationCharacteristic polynomialQuadratic formJordan blockHermitian matrixLeft eigenvectorLie algebraBilinear formNontrivial solutionLinear independenceCross termLinear combinationAlgebraizationLeft nullspaceSpecial linear groupEigenprojectionEigenspaceEigenformRank-nullity theoremPlücker matrixAffine combinationEigenvalueEigenpolynomialEigenpairGeometric multiplicityOrthogonal groupTransition matrixLeft eigenvalueSpecial unitary groupPolynomial formCongruenceEigensolutionCirculantMultilinear formLinear group