User:Rogério Brito/Books/Garbage

Collection of Diverse Theorems

 * Definitions of Linear Algebra
 * Endomorphism
 * Characteristic polynomial
 * Minimal polynomial
 * Bilinear form
 * Definite bilinear form
 * Positive-definite matrix
 * Gram matrix
 * Circulant matrix
 * Moore-Penrose pseudoinverse
 * Representation theory
 * Involution (mathematics)
 * Automorphism
 * Jordan normal form


 * Definitions of Modules
 * Module (mathematics)
 * Direct sum of modules
 * Indecomposable module
 * Semisimple module
 * Simple module
 * Universal property
 * Free object
 * Cokernel
 * Exact sequence


 * Definitions of Category Theory
 * Pullback (category theory)
 * Pushout (category theory)
 * Dual (category theory)
 * Functor
 * Fiber bundle
 * Equaliser (mathematics)
 * Duality (mathematics)


 * Definitions of Projective Geometry
 * Projective geometry
 * Homogeneous coordinates
 * Projective plane
 * Projective space
 * Finite geometry
 * Fano plane


 * Special Groups
 * Matrix group
 * General linear group
 * Special linear group
 * Orthogonal group
 * Projective linear group
 * Unitary group
 * Special unitary group
 * PSL(2,7)
 * Modular group
 * Braid group
 * Symplectic group
 * SL2(R)
 * Möbius transformation


 * Theorems
 * Spectral theorem
 * Cayley–Hamilton theorem
 * Moore–Penrose pseudoinverse/Proofs
 * Schur's lemma
 * Maschke's theorem


 * Special Matrices
 * Toeplitz matrix
 * Hermitian matrix
 * Hessenberg matrix
 * Tridiagonal matrix
 * Sparse matrix


 * Initial Applications
 * Least squares
 * Linear least squares


 * Algebra
 * Local ring
 * Representation theory of finite groups
 * Group representation
 * Finite field


 * Decompositions and Algorithms
 * Gaussian elimination
 * Gauss–Jordan elimination
 * LU decomposition
 * Cholesky decomposition
 * Symbolic Cholesky decomposition
 * QR decomposition
 * Singular value decomposition
 * Eigendecomposition of a matrix
 * Jacobi eigenvalue algorithm
 * Numerical stability
 * Kalman filter