LA:020131Primary projections invert a polynomial the spectrum avoidsLa2 Primary Bezout ProjectionsLa2 Polynomial Inverse Via CrtPrivateLabels unavailablePrivate saving unavailablePolynomials of operators and minimal polynomialsLinear Algebra II · Mixed reviewProgress not loaded
LA:020133Hermite interpolation evaluates the exponential of a nonnormal matrixLa2 Hermite Matrix FunctionLa2 Nonnormal Interpolation CalculusPrivateLabels unavailablePrivate saving unavailablePolynomials of operators and minimal polynomialsLinear Algebra II · Mixed reviewProgress not loaded
LA:020232A commuting partner respects every primary summandLa2 Commuting Preserves PrimaryLa2 Joint Pair Primary ReductionPrivateLabels unavailablePrivate saving unavailableInvariant subspaces and cyclic decompositionLinear Algebra II · Mixed reviewProgress not loaded
LA:020234A noncyclic nilpotent has commutant larger than its polynomialsLa2 Nilpotent Commutant ParametersLa2 Cyclic Module Endomorphism RingPrivateLabels unavailablePrivate saving unavailableInvariant subspaces and cyclic decompositionLinear Algebra II · Mixed reviewProgress not loaded
LA:020235One flag triangularizes two commuting operators at onceLa2 Commuting Common EigenvectorLa2 Simultaneous Triangular FlagPrivateLabels unavailablePrivate saving unavailableInvariant subspaces and cyclic decompositionLinear Algebra II · Mixed reviewProgress not loaded
LA:020317Read every nilpotent Jordan block from kernel growthLa2 Jordan Kernel GrowthLa2 Nilpotent Block MultiplicitiesPrivateLabels unavailablePrivate saving unavailableRational and Jordan canonical formsLinear Algebra II · Mixed reviewProgress not loaded
LA:020318Lift kernel vectors into an actual Jordan-chain basisLa2 Jordan Chain ConstructionLa2 Kernel Filtration PreimagesPrivateLabels unavailablePrivate saving unavailableRational and Jordan canonical formsLinear Algebra II · Mixed reviewProgress not loaded
LA:020319Assemble two generalized eigenspaces from their nullity layersLa2 Generalized Eigenspace DecompositionLa2 Mixed Jordan Profile ReconstructionPrivateLabels unavailablePrivate saving unavailableRational and Jordan canonical formsLinear Algebra II · Mixed reviewProgress not loaded
LA:020320Separate nilpotent operators that coarse invariants cannotLa2 Nilpotent Similarity InvariantsLa2 Jordan Partition AmbiguityPrivateLabels unavailablePrivate saving unavailableRational and Jordan canonical formsLinear Algebra II · Mixed reviewProgress not loaded
LA:020422Invertible matrices split uniquely into stretch then rotateLa2 Polar Psd Square RootLa2 Left Right Polar UniquenessPrivateLabels unavailablePrivate saving unavailableInner-product spaces, adjoints, and normal operatorsLinear Algebra II · Mixed reviewProgress not loaded
LA:020424The four Penrose identities pick out one inverseView access optionsLa2 Pseudoinverse Left Inverse FormulaLa2 Penrose Uniqueness And Min NormPrivateLabels unavailablePrivate saving unavailableInner-product spaces, adjoints, and normal operatorsLinear Algebra II · Mixed reviewProgress not loaded
LA:020425The residual must be orthogonal to the column planeView access optionsLa2 LS Normal Equations EquivalenceLa2 Pythagoras IN Column SpacePrivateLabels unavailablePrivate saving unavailableInner-product spaces, adjoints, and normal operatorsLinear Algebra II · Mixed reviewProgress not loaded
LA:020521A nonnormal matrix still has a unitary triangular formView access optionsLa2 Schur Inductive ConstructionLa2 Normality Versus Unitary DiagonalizationPrivateLabels unavailablePrivate saving unavailableFinite-dimensional spectral theoremsLinear Algebra II · Mixed reviewProgress not loaded
LA:020523A short wide matrix has two singular values and a unique gapView access optionsLa2 Svd From Gram EigenbasesLa2 Eckart Young Rank One ErrorPrivateLabels unavailablePrivate saving unavailableFinite-dimensional spectral theoremsLinear Algebra II · Mixed reviewProgress not loaded
LA:020626Recover kernel and image annihilators from the dual mapView access optionsLa2 Annihilator DimensionLa2 Dual Map Rank IdentitiesPrivateLabels unavailablePrivate saving unavailableBilinear forms, quadratic forms, and tensor structureLinear Algebra II · Mixed reviewProgress not loaded
LA:020627Identify the dual of a quotient with an annihilatorView access optionsLa2 Restriction Annihilator QuotientLa2 Dual OF Quotient IsomorphismPrivateLabels unavailablePrivate saving unavailableBilinear forms, quadratic forms, and tensor structureLinear Algebra II · Mixed reviewProgress not loaded
LA:020628Factor bilinear maps through the tensor productView access optionsLa2 Tensor Universal PropertyLa2 Dual Tensor Hom IsomorphismPrivateLabels unavailablePrivate saving unavailableBilinear forms, quadratic forms, and tensor structureLinear Algebra II · Mixed reviewProgress not loaded
LA:020629Read the determinant from the top exterior powerView access optionsLa2 Exterior Power DeterminantLa2 Compound Wedge ActionPrivateLabels unavailablePrivate saving unavailableBilinear forms, quadratic forms, and tensor structureLinear Algebra II · Mixed reviewProgress not loaded
LA:020630Put an alternating form into Darboux block shapeView access optionsLa2 Alternating Radical RankLa2 Darboux Symplectic BasisPrivateLabels unavailablePrivate saving unavailableBilinear forms, quadratic forms, and tensor structureLinear Algebra II · Mixed reviewProgress not loaded