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Identity matrixUnitary matrixElementary matrixNull matrixOrthogonal matrixTransformation matrixSingular matrixColumn vectorInverse matrixInvertible matrixUnitaryMatrixCoefficient matrixSquare matrixProjection matrixMatrix algebraUnitSpecial unitary groupZero matrixLinear algebraConference matrixToeplitz matrixRow vectorDiagonal matrixSymmetric matrixEntryLinear formHermitian matrixHankel matrixLinear transformationTrivial solutionArrayCongruenceHermitian conjugateLinear groupRow-equivalenceZero vectorImmanantInner productProjectionUnitary groupUnit vectorCross productStochastic matrixColumn echelon formAugmented matrixAffine combinationEchelon formDirect sumMatrix decompositionAntidiagonalMain diagonalDefective matrixRankLinear independenceColumn spaceComatrixHypermatrixMatrix groupDot productJordan matrixDimensionTransposeScalar multiplicationCovectorInteraction matrixEigenvectorLinear functionalSimilarityQr decompositionLeft nullspaceDeterminantBasisSemimatrixEigenmatrixElementLinear systemCharacteristic vectorMatricianGeneral linear groupCharacteristic polynomialSymplectic matrixPlücker matrixOrthogonal complementNontrivial solutionAdjointEigendecompositionRow spaceDiagonal elementLinear combinationOuter productNullspaceTensorSkew-symmetryLinear sumEigenprojectionBilinearProper valueSpecial linear groupRank-nullity theorem