 List of linear algebra topics

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, positivedefinite 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
 Higherorder 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
 Ranknullity 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
 Componentfree treatment of tensors
 Tensor algebra
Affine space
Projective space
Categories: Mathematicsrelated lists
 Linear algebra
 Outlines
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