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Matrix decompositionCoefficient matrixAlgebra over a fieldCoordinate vectorScalar productOrthogonal basisScalar fieldTensor product of representationsLinear combinationAffine combinationDual spaceLie algebra representationCartesian tensorScalar multiplicationPolynomial basisInvariants of tensorsTensor product of modulesCommutation matrixTensor productEigendecomposition of a matrixConvex combinationCartan decompositionTensor product of fieldsLinear algebraic groupAlgebraChange of basisLinear relationLinear algebraEigendecompositionLinear subspaceInner productMatrix algebraAdjoint representationLinear mapTensor algebraMatrix analysisBilinear formMatrix multiplicationOrthonormal basisAssociative algebraFrameRepresentation theoryOuter productFactorization of polynomialsVector productAlgebraic expressionPolarization identityLinear spanOperator algebraLu decompositionMultilinear formBialgebraBernstein polynomialCartesian productCross productComposition algebraOrthogonal complementSingular value decompositionMathematical structureTranspose of a linear mapCharacteristic polynomialClifford algebraOrthogonalizationGroup representationSylvester matrixSchur product theoremMultiplication of vectorsCoefficientMatroidProductOperator product expansionSpecial linear groupMatrixDualAlgebraic structureMatrix calculusSystem of linear equationsProduct topologyBilinear mapBiquaternionClass field theoryOrthogonal functionsLie algebraGeneral linear groupProjectivizationDot productIdentity elementOrthogonal groupRank factorizationStructure tensorRotation matrixRepresentation of a lie groupIdentityMatrix splittingGeometric algebraGeometric multiplicityQr decompositionSystem of bilinear equationsMultilinear polynomialDirect product of groups