Science Fair Project Encyclopedia
List of linear algebra topics
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 |
Linear equations
Matrices
- Matrix theory
- Matrix addition
- Matrix multiplication
- Basis transformation matrix
- Characteristic polynomial
- Trace (matrix), trace
- Cayley-Hamilton theorem
- Eigenvalue, eigenvector
- Jordan normal form
- Rank (matrix theory)
- Matrix inversion, invertible matrix
- Adjugate
- Transpose
- Positive definite, positive semidefinite, positive-definite matrix
- Pfaffian
- Projection (linear algebra)
- 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
- Scalar multiplication
- Linear combination
- Linear span
- Linear independence
- Basis (linear algebra)
- Coordinates vector
Vector spaces
- Basis (linear algebra)=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
Multilinear algebra
Affine space
Projective space
Last updated: 08-09-2005 02:25:57
10-26-2009 08:16:03
The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details
The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details