List of linear algebra topics
From Wikipedia, the free encyclopedia
This is a list of linear algebra topics, by Wikipedia page. See also
- list of matrices
- glossary of matrix theory
- glossary of tensor theory.
Contents |
[edit] Linear equations
- System of linear equations
- Determinant
- Cramer's rule
- Gaussian elimination
- Gauss-Jordan elimination
- Strassen algorithm
[edit] Matrices
- Matrix theory
- Matrix addition
- Matrix multiplication
- Basis transformation matrix
- Characteristic polynomial
- Trace
- Eigenvalue, eigenvector and eigenspace
- Jordan normal form
- Rank
- Matrix inversion, invertible matrix
- Adjugate
- Transpose
- Positive definite, positive semidefinite, positive-definite matrix
- Pfaffian
- Projection
- Diagonal matrix, main diagonal
- Similar matrix
- Tridiagonal matrix
- Hessenberg matrix
- Triangular matrix
- Spectral theorem
- Stochastic matrix
- Toeplitz matrix
- Hankel matrix
- Vandermonde matrix
- Block matrix
- (0,1)-matrix
- Sparse matrix
- Payoff matrix
- Woodbury matrix identity
- Perron-Frobenius theorem
[edit] Matrix decompositions
- Cholesky decomposition
- LU decomposition
- QR decomposition
- Spectral theorem
- Singular value decomposition
- Schur decomposition
[edit] Computations
[edit] Vectors
[edit] Vector spaces
- Basis=Hamel basis
- Dimension theorem for vector spaces=Hamel dimension
- Examples of vector spaces
- Linear map
- Column space
- Row space
- Null space, nullity
- Rank-nullity theorem
- Dual space
- Orthogonality
- Orthogonal complement
- Orthogonal projection
- Improper rotation
- Category of vector spaces
- Subspace
- Normed vector space
- Inner product space
