List of linear algebra topics
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This is a list of linear algebra topics, by Wikipedia page. See also
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Linear equations
Matrices
- Matrix theory
- Matrix addition
- Matrix multiplication
- Basis transformation matrix
- Characteristic polynomial
- Trace
- Cayley-Hamilton theorem
- Eigenvalue, eigenvector
- Jordan normal form
- Rank
- Matrix inversion, invertible matrix
- Adjugate
- Transpose
- Positive definite, positive semidefinite, positive-definite matrix
- Pfaffian
- Projection
- Diagonal matrix, main diagonal
- 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
Matrix decompositions
- Cholesky decomposition
- LU decomposition
- QR decomposition
- Spectral theorem
- Singular value decomposition
- Schur decomposition
Computations
Vectors
Vector spaces
- Basis=Hamel basis
- Dimension theorem for vector spaces=Hamel dimension
- Examples of vector spaces
- Linear transformation
- 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