this is a list of linear algebra topics. see also: *list of matrices *glossary of tensor theory. ==linear equations== *system of linear equations *determinant **minor **cauchyâbinet formula *cramer's rule *gaussian elimination *gaussâjordan elimination *strassen algorithm ==matrices== *2 Ã 2 real matrices *matrix theory *matrix addition *matrix multiplication *basis transformation matrix *characteristic polynomial *trace *eigenvalue, eigenvector and eigenspace **cayleyâhamilton theorem **spread of a matrix **jordan normal form **weyr canonical form *rank *matrix inversion, invertible matrix **pseudoinverse *adjugate *transpose **dot product **symmetric matrix **orthogonal matrix **skew-symmetric matrix **conjugate transpose ***unitary matrix ***hermitian matrix, antihermitian matrix *positive-definite, positive-semidefinite matrix *pfaffian *projection *spectral theorem *perronâfrobenius theorem *list of matrices **diagonal matrix, main diagonal ***diagonalizable matrix **triangular matrix **tridiagonal matrix **block matrix **sparse matrix **hessenberg matrix **hessian matrix **vandermonde matrix **stochastic matrix **toeplitz matrix ***circulant matrix **hankel matrix **(0,1)-matrix ==matrix decompositions== *cholesky decomposition *lu decomposition *qr decomposition *polar decomposition *spectral theorem *singular value decomposition **higher-order singular value decomposition *schur decomposition **schur complement **haynsworth inertia additivity formula ==relations== *matrix equivalence *matrix congruence *matrix similarity *matrix consimilarity *row equivalence ==computations== *elementary row operations *householder transformation *least squares, linear least squares *gramâschmidt process *woodbury matrix identity ==vector spaces== *linear combination *linear span *linear independence *scalar multiplication *basis **change of basis **hamel basis *cyclic decomposition theorem *dimension theorem for vector spaces **hamel dimension *examples of vector spaces *linear map **shear mapping or galilean transformation **squeeze mapping or lorentz transformation *linear subspace **row and column spaces **column space **row space **cyclic subspace **null space, nullity **rank-nullity theorem **nullity theorem *dual space **linear function **linear functional *[[category of vector spaces
Linear_algebra Mathematics-related_lists Outlines