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Linear relationTranspose of a linear mapQuadratic reciprocityBilinear mapLeibniz formula for determinantsScalar multiplicationLinear differential equationBounded inverse theoremBilinear formStein manifoldCharacteristic polynomialMatrix determinant lemmaSchur product theoremOrthogonal basisCoefficient matrixCoordinate vectorTransfer matrixSchur decompositionSimons' formulaBinomial theoremPolarization identityEigendecomposition of a matrixCommutation matrixSchmidt decompositionCalculus on euclidean spaceStructure constantsSpectral theoremPrimitive element theoremSum of two squares theoremHurewicz theoremLinear mapDual spaceMatrix decompositionOrthonormal basisSystem of linear equationsMultilinear formRepresentation theoryLevinson recursionAlgebra over a fieldMatrix multiplicationCodimensionGeometric mean theoremTensor productTensor product of modulesBernstein polynomialProjectionCartan decompositionDimensionPolynomial remainder theoremChange of basisLebesgue's number lemmaBiconjugate gradient methodCartesian tensorDarboux's theoremLie algebra representationMatrix splittingAlgebraic number theoryFarkas' lemmaBessel's inequalitySesquilinear formTensor contractionLebesgue measurePythagorean additionEuler's formulaSpecial linear lie algebraTraceClass field theoryDivergence theoremSemi-simplicityBilinear interpolationFundamental theorem of calculusTriangle inequalityMatrix analysisStein's methodEuler's criterionPythagorean trigonometric identityIntersection theoryMin-max theoremProduct ruleFrobenius inner productSymmetric bilinear formSchur complementConnectorLefschetz hyperplane theoremConjugate gradient methodSperner's lemmaOrthogonal functionsOrthogonalizationEquivariant mapMultinomial theoremLefschetz fixed-point theoremSylvester equationOrthogonal diagonalizationRational root theoremLiouville field theoryCramer's ruleMatrix exponentialLinear algebraic groupAxiom of extensionalityLinear function