Skip to main content

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