Please enable JavaScript.

Coggle requires JavaScript to display documents.

Algebra I - Coggle Diagram

- - - - Relabellings and permutations of matrices
    - - Equivalence of maps from X to Y; algorithm to classify maps from X to Y upto equivalence using a normal form
      - Classification of self-maps from X to X
      - Classification of bijections from X to X using a matrix consisting of cyclic blocks
- - - - Quotient Map
      - Affine subspaces
  - - - Bookkeeping; finding inverses
    - - Eigenvectors and Eigenvalues
      - Generalized Eigenvectors
      - Invariant Subspaces
      - Upper triangular matrices
        
        Characteristic Polynomial
        
        Minimal polynomial
        
        Decomposition theorem for L(V, V)
        
        Cayley-Hamilton Theorem
      - Diagonal matrices
      - Annihilator polynomials
    - - RREF and Block Matrices