This is a list of linear algebra topics. See also
Contents |
Linear equations
- System of linear equations
- Determinant
- Cramer's rule
- Gaussian elimination
- Gauss-Jordan elimination
- Strassen algorithm
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
- Real matrices (2 x 2)
- Similar matrix
- Spectral theorem
- Woodbury matrix identity
- Perron-Frobenius theorem
- List of matrices
Matrix decompositions
- Cholesky decomposition
- LU decomposition
- QR decomposition
- Spectral theorem
- Singular value decomposition
- Schur decomposition
Computations
Vectors
Vector spaces
- Basis
- Dimension theorem for vector spaces
- Examples of vector spaces
- Linear map
- Column space
- Row space
- Null space, nullity
- Rank-nullity theorem
- Nullity theorem
- Dual space
- Orthogonality
- Orthogonal complement
- Orthogonal projection
- Improper rotation
- Category of vector spaces
- Subspace
- Normed vector space
- Inner product space
Multilinear algebra
Affine space
Projective space
This entry is from Wikipedia, the leading user-contributed encyclopedia. It may not have been reviewed by professional editors (see full disclaimer)
