Linear Algebra

Below you can find a complete list of the existing commands related to Linear Algebra. You can access the dedicated documentation for each command by clicking on its name.

`adjoint_matrix`	Adjoint matrix computation
`canonic_vector`	Construct a canonic vector
`characteristic_matrix`	Compute the characteristic matrix
`characteristic_polynomial`	Compute the characteristic polynomial
`column`	Column of a matrix
`constant_matrix`	Construct a constant matrix
`constant_vector`	Construct a constant vector
`determinant`	Determinant of a matrix
`diagonal_matrix`	Construct a diagonal matrix
`dimensions`	Dimensions of a matrix
`eigenvalues_and_vectors`	Eigenvalues and eigenvectors
`eigenvalues`	Eigenvalues of a matrix
`eigenvectors`	Eigenvectors of a matrix
`gaussian_elimination`	Gaussian elimination algorithm
`hermite_basis`	Hermite decomposition basis
`hermite`	Hermite decomposition
`hessenberg_reduction`	Hessenberg reduction algorithm
`identity_matrix`	Identity matrix constructor
`image`	Image or rank of a matrix
`inverse`	Inverse of a matrix
`jordan`	Jordan form
`kernel`	Kernel of a matrix
`linearly_independents?`	Check if vectors are independents
`lu_decomposition`	LU decomposition of a matrix
`matrix_range`	Matrix dimensions range
`matrix`	Matrix from polynomial
`minor`	Minor computation
`n_columns`	Number of columns of a matrix
`n_rows`	Number of rows of a matrix
`norm`	Norm of a vector
`polynomial_to_companion_matrix`	Companion matrix constructor
`qr_decomposition`	QR decomposition of a matrix
`rank`	Rank of a matrix
`rotation_matrix`	Construct a rotation matrix
`smith_normal_form_basis`	Smith normal form
`smith_normal_form`	Smith normal form invariant factors
`solve`	Solve linear system
`subspace_intersection`	Intersection of subspaces
`subspace_sum`	Sum of subspaces
`supplement`	Supplement of an space
`symmetric?`	Check if a matrix is symmetric
`symmetry_matrix`	Construct the symmetry matrix
`trace`	Trace of a matrix
`transpose`	Transpose of a matrix
`vectorial_product`	Vectorial or cross product
`versor`	Versor computation