- List of linear algebra topics
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This is a list of linear algebra topics. See also
Contents
Linear equations
- System of linear equations
- Determinant
- Minor
- Cauchy–Binet formula
- 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
- Pseudoinverse
- Adjugate
- Transpose
- Positive definite, positive semidefinite, positive-definite matrix
- Pfaffian
- Projection
- 2 × 2 real matrices
- 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
- Higher-order singular value decomposition
- Schur decomposition
- Schur complement
- Haynsworth inertia additivity formula
Computations
Vectors
- Scalar multiplication
- Linear combination
- Linear span
- Linear independence
- Basis
- Coordinates vector
Vector spaces
- Basis
- Change of 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
- Nullity theorem
- Dual space
- Orthogonality
- Orthogonal complement
- Orthogonal projection
- Outer product
- Improper rotation
- Category of vector spaces
- Linear subspace
- Normed vector space
- Inner product space
Multilinear algebra
- Tensor
- Classical treatment of tensors
- Intermediate treatment of tensors
- Component-free treatment of tensors
- Tensor algebra
Affine space
Projective space
Categories:- Mathematics-related lists
- Linear algebra
- Outlines
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