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208 (SU1-Eigenspaces, Polynomials, Invariant Subspaces (def (polynomial…

- - - - annihilating
      - minimal
      - monic
  - - - Growing invariant subspaces
      - linear operator, minimal polynomial, T-invariant subspace,eigenvalue, linear polynomial, T-conductor, linear factors
    - - Upper triangular form
      - linear operator, minimal polynomial
    - - linear operator, minimal polynomial, linear factors, diagonalizable
- - - - independent
      - basis
    - - projections
      - range
    - - projections
      - range
    - - linear operator
      - vector space
      - diagonalizable
      - eigenvalues
      - projections
    - - linear operators
      - diagonalizable
      - eigenvalue
      - projection
    - - Primary Decomposition
      - linear operator
      - vector space
      - polynomial
        
        minimal
        
        irreducible monic
      - T-invariant
    - - linear operator
      - minimal polynomial
      - linear factors
      - diagonalizable operator
      - nilpotent
- - - - T-annihilator
      - dimension
      - cyclic subspace
      - basis
      - linear operator
      - minimal polynomial
    - - linear operator
      - cyclic vector
      - T-cyclic
      - basis
      - companion matrix
      - polynomial
        
        monic
        
        minimal
        
        characteristic
    - - Cyclic Decomposition
      - linear operator
      - T-annihilators
    - - T-conductor
    - - linear operator
      - vector space
      - T-annihilator
      - minimal polynomial
    - - field
      - rational canonical form
    - - Jordan Canonical Form
      - characteristic polynomial
      - linear factors
      - jordan block
      - eigenvalues
      - subdiagonal
    - - nilpotent linear operator
      - vector space
      - dimension
      - basis
      - nullspace
- - - - Cauchy-Schwarz
      - inner product
      - linearly dependent
    - - inner product
      - induced norm
    - - Polarization Identity
      - inner product
      - induced norm
    - - Parallelogram Law
      - inner product
      - induced norm
    - - Annihilator Subspace
      - vector space
      - field
      - subspace
      - dim
      - hyperplanes
    - - isomorphic
      - invertible linear operator
    - - linear operator
      - finite dimensional
      - adjoint
    - - linear operator
      - orthonormal basis
      - adjoint
      - conjugate transpose
    - - linear operators
- - - - commute
    - - non-negative
      - self-adjoint
  - - - isomorphic
      - inner product vector spaces
      - dimension
    - - inner product vector spaces
      - dimension
      - orthonormal basis
    - - unitary operators
      - inverse
    - - unitary
    - - normal operator
      - eigenvector
      - eigenvalue
    - - SCHUR DECOMPOSITION
      - finite dimensional inner product vector space
      - linear operator
      - orthonormal basis
    - - orhonormal basis
    - - finite dimensional inner product vector space
      - normal operator
      - orthonormal basis
      - eigenvectors
    - - normal matrix
      - unitary matrix
    - - self-adjoint linear operators
      - eigenvalues
      - orthogonal
    - - finite dimensional inner product space
      - self-adjoint linear operator
      - eigenvtor
    - - finite dimensional inner product space
      - self-adjoint operator
      - orthonormal basis
    - - SPECTRAL RESOLUTION
      - orthonormal basis
      - eigenvectors
      - eigenspace
      - orthogonal
      - spectral resolution
      - projection
    - - Lagrange polynomial
      - projection operator
    - - diagonalizable normal operator
      - orthonormal basis
      - eigenvectors
    - - diagonalizable normal operator
      - finite dimensional vector space
      - self-adjoint
      - eigenvalues
      - unitary
    - - finite dimensional inner product space
      - non-negative operator
      - unique non-negative operator
    - - POLAR DECOMPOSTION
      - finite dimensional inner product space
      - linear operator
      - unitary
- - - - form
        
        symmetric
        
        rank
        
        quadratic
  - - - SVD DECOMPOSITION
    - - ECKART-YOUNG-MIRSKY
      - SVD
      - rank
    - - ECKART-YOUNG-MIRSKY
      - rank
      - SVD
    - - basis
    - - finite dimensional space
      - basis
      - bilinear form
      - isomorphism
    - - bases
      - bilinear form
    - - finite dimensional vector space
      - symmetric billinear form
      - diagonal matrix
    - - symmetric matrix
    - - finite dimensional vector space
      - symmetric billinear form
    - - finite dimensional vecotr space
      - symmetric bilinear form
      - basis