| 2.13.2 Commands and Functions for MAT |
| adj | classical adjoint matrix (also known as adjugate) |
| AlmostQR | QR decomposition of a matrix |
| apply | apply homomorphism |
| BlockMat | create a block matrix |
| BlockMat2x2 | create a block matrix with 4 matrices |
| CharPoly | characteristic polynomial of a matrix |
| ConcatAntiDiag | create a simple block matrix |
| ConcatDiag | create a simple block matrix |
| ConcatHor | create a simple block matrix |
| ConcatHorList | create a simple block matrix |
| ConcatVer | create a simple block matrix |
| ConcatVerList | create a simple block matrix |
| det | the determinant of a matrix |
| eigenfactors | eigenfactors of a matrix |
| eigenvectors | eigenvalues and eigenvectors of a matrix |
| ElimHomogMat | matrix for elimination ordering |
| ElimMat | matrix for elimination ordering |
| eval | substitute numbers or polynomials for indeterminates |
| FGLM5 | perform a FGLM Groebner Basis conversion |
| GetCol | convert a column of a matrix into a list |
| GetCols | convert a matrix into a list of lists |
| GetRow | convert a row of a matrix into a list |
| GetRows | convert a matrix into a list of lists |
| GFanContainsPositiveVector | ... |
| GFanGeneratorsOfLinealitySpace | ... |
| GFanGeneratorsOfSpan | ... |
| GFanGetAmbientDimension | ... |
| GFanGetCodimension | ... |
| GFanGetDimension | ... |
| GFanGetDimensionOfLinealitySpace | ... |
| GFanGetFacets | ... |
| GFanGetImpliedEquations | ... |
| GFanGetUniquePoint | ... |
| GFanRelativeInteriorPoints | relative interior point of a cone |
| GraverBasis | Graver basis |
| HilbertBasisKer | Hilbert basis for a monoid |
| HilbertSeriesMultiDeg | the Hilbert-Poincare series wrt a multigrading |
| IdealOfPoints | ideal of a set of affine points |
| inverse | multiplicative inverse of matrix |
| IsAntiSymmetric | checks if a matrix is anti-symmetric |
| IsDiagonal | checks if a matrix is diagonal |
| IsPositiveGrading | check if a matrix defines a positive grading |
| IsSymmetric | checks if a matrix is symmetric |
| IsTermOrdering | check if a matrix defines a term-ordering |
| IsZero | test whether an object is zero |
| IsZeroCol, IsZeroRow | test whether a column(row) is zero |
| LinKer | find the kernel of a matrix |
| LinKerBasis | find the kernel of a matrix |
| LinSolve | find a solution to a linear system |
| MakeTermOrd | Make a term order matrix from a given matrix |
| matrix | convert a list into a matrix |
| minors | list of minor determinants of a matrix |
| MinPoly | minimal polynomial of a matrix |
| NewFreeModule | create a new FreeModule |
| NewPolyRing | create a new PolyRing |
| NmzDiagInvariants | ring of invariants of a diagonalizable group action |
| NmzFiniteDiagInvariants | ring of invariants of a finite group action |
| NmzHilbertBasis | Hilbert Basis of a monoid |
| NmzIntersectionValRings | intersection of ring of valuations |
| NmzTorusInvariants | ring of invariants of torus action |
| NumCols | number of columns in a matrix |
| NumRows | number of rows in a matrix |
| pfaffian | the Pfaffian of a skew-symmetric matrix |
| PreprocessPts | Reduce redundancy in a set of approximate points |
| product | the product of the elements of a list |
| RingOf | the ring of the object |
| RingsOf | list of the rings of an object |
| rk | rank of a matrix or module |
| SetRow | set a list as a row into a matrix |
| submat | submatrix |
| sum | the sum of the elements of a list |
| SwapRows | swap two rows in a matrix |
| TmpNBM | Numerical Border Basis of ideal of points |
| toric | saturate toric ideals |
| transposed | the transposition of a matrix |