List of Linear Algebra Topics - Matrices

Matrices

• 2 × 2 real matrices
• Matrix theory
• Matrix addition
• Matrix multiplication
• Basis transformation matrix
• Characteristic polynomial
• Trace
• Eigenvalue, eigenvector and eigenspace
  • Cayley–Hamilton theorem
  • Spread of a matrix
• Jordan normal form
• Rank
• Matrix inversion, invertible matrix
  • Pseudoinverse
• Adjugate
• Transpose
  • Dot product
  • Symmetric matrix
  • Orthogonal matrix
  • Skew-symmetric matrix
  • Conjugate transpose
    • Unitary matrix
    • Hermitian matrix, Antihermitian
• Positive definite, positive semidefinite, positive-definite matrix
• Pfaffian
• Projection
• Spectral theorem
• Perron–Frobenius theorem
• List of matrices
  • Diagonal matrix, main diagonal
    • Diagonalizable matrix
  • Triangular matrix
  • Tridiagonal matrix
  • Block matrix
  • Sparse matrix
  • Hessenberg matrix
  • Hessian matrix
  • Vandermonde matrix
  • Stochastic matrix
  • Toeplitz matrix
    • Circulant matrix
  • Hankel matrix
  • (0,1)-matrix