LA:020131Primary projections invert a polynomial the spectrum avoidsView problem statementLa2 Primary Bezout ProjectionsLa2 Polynomial Inverse Via CrtPolynomials of operators and minimal polynomialsLinear Algebra II · Mixed review—
LA:020133Hermite interpolation evaluates the exponential of a nonnormal matrixView access optionsLa2 Hermite Matrix FunctionLa2 Nonnormal Interpolation CalculusPolynomials of operators and minimal polynomialsLinear Algebra II · Mixed review—
LA:020232A commuting partner respects every primary summandView access optionsLa2 Commuting Preserves PrimaryLa2 Joint Pair Primary ReductionInvariant subspaces and cyclic decompositionLinear Algebra II · Mixed review—
LA:020234A noncyclic nilpotent has commutant larger than its polynomialsView access optionsLa2 Nilpotent Commutant ParametersLa2 Cyclic Module Endomorphism RingInvariant subspaces and cyclic decompositionLinear Algebra II · Mixed review—
LA:020235One flag triangularizes two commuting operators at onceView access optionsLa2 Commuting Common EigenvectorLa2 Simultaneous Triangular FlagInvariant subspaces and cyclic decompositionLinear Algebra II · Mixed review—
LA:020317Read every nilpotent Jordan block from kernel growthView access optionsLa2 Jordan Kernel GrowthLa2 Nilpotent Block MultiplicitiesRational and Jordan canonical formsLinear Algebra II · Mixed review—
LA:020318Lift kernel vectors into an actual Jordan-chain basisView access optionsLa2 Jordan Chain ConstructionLa2 Kernel Filtration PreimagesRational and Jordan canonical formsLinear Algebra II · Mixed review—
LA:020319Assemble two generalized eigenspaces from their nullity layersView access optionsLa2 Generalized Eigenspace DecompositionLa2 Mixed Jordan Profile ReconstructionRational and Jordan canonical formsLinear Algebra II · Mixed review—
LA:020320Separate nilpotent operators that coarse invariants cannotView access optionsLa2 Nilpotent Similarity InvariantsLa2 Jordan Partition AmbiguityRational and Jordan canonical formsLinear Algebra II · Mixed review—
LA:020422Invertible matrices split uniquely into stretch then rotateView access optionsLa2 Polar Psd Square RootLa2 Left Right Polar UniquenessInner-product spaces, adjoints, and normal operatorsLinear Algebra II · Mixed review—
LA:020424The four Penrose identities pick out one inverseView access optionsLa2 Pseudoinverse Left Inverse FormulaLa2 Penrose Uniqueness And Min NormInner-product spaces, adjoints, and normal operatorsLinear Algebra II · Mixed review—
LA:020425The residual must be orthogonal to the column planeView access optionsLa2 LS Normal Equations EquivalenceLa2 Pythagoras IN Column SpaceInner-product spaces, adjoints, and normal operatorsLinear Algebra II · Mixed review—
LA:020521A nonnormal matrix still has a unitary triangular formView access optionsLa2 Schur Inductive ConstructionLa2 Normality Versus Unitary DiagonalizationFinite-dimensional spectral theoremsLinear Algebra II · Mixed review—
LA:020523A short wide matrix has two singular values and a unique gapView access optionsLa2 Svd From Gram EigenbasesLa2 Eckart Young Rank One ErrorFinite-dimensional spectral theoremsLinear Algebra II · Mixed review—
LA:020626Recover kernel and image annihilators from the dual mapView access optionsLa2 Annihilator DimensionLa2 Dual Map Rank IdentitiesBilinear forms, quadratic forms, and tensor structureLinear Algebra II · Mixed review—
LA:020627Identify the dual of a quotient with an annihilatorView access optionsLa2 Restriction Annihilator QuotientLa2 Dual OF Quotient IsomorphismBilinear forms, quadratic forms, and tensor structureLinear Algebra II · Mixed review—
LA:020628Factor bilinear maps through the tensor productView access optionsLa2 Tensor Universal PropertyLa2 Dual Tensor Hom IsomorphismBilinear forms, quadratic forms, and tensor structureLinear Algebra II · Mixed review—
LA:020629Read the determinant from the top exterior powerView access optionsLa2 Exterior Power DeterminantLa2 Compound Wedge ActionBilinear forms, quadratic forms, and tensor structureLinear Algebra II · Mixed review—
LA:020630Put an alternating form into Darboux block shapeView access optionsLa2 Alternating Radical RankLa2 Darboux Symplectic BasisBilinear forms, quadratic forms, and tensor structureLinear Algebra II · Mixed review—