| 4.7.2 Commands and Functions for Matrices |
| Adjoint | adjoint matrix |
| AlmostQR | QR decomposition of a matrix |
| BlockMatrix | create a block matrix |
| BringIn | bring in objects from another ring |
| CharPoly | characteristic polynomial of a matrix |
| ColMat | single column matrix |
| ColumnVectors | the list of column vectors of a matrix |
| DegLexMat | matrices for std. term-orderings |
| DegRevLexMat | matrices for std. term-orderings |
| Det | the determinant of a matrix |
| DiagonalMat | matrix with given diagonal |
| Eigenvectors | eigenvalues and eigenvectors of a matrix |
| HilbertBasis | Hilbert basis for a monoid |
| Identity | the identity matrix |
| Inverse | multiplicative inverse |
| 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 |
| Jacobian | the Jacobian of a list of polynomials |
| Len | the length of an object |
| LexMat | matrices for std. term-orderings |
| LinKer, LinKerModP | find the kernel of a matrix |
| LinSol | find a solution to a linear system |
| List | convert an expression into a list |
| MakeMatByRows, MakeMatByCols | convert a list into a matrix |
| Mat | convert an expression into a matrix |
| MatConcatAntiDiag | create a simple block matrix |
| MatConcatDiag | create a simple block matrix |
| MatConcatHor | create a simple block matrix |
| MatConcatVer | create a simple block matrix |
| Minors | list of minor determinants of a matrix |
| NewMat | create a new matrix |
| NumCols | number of columns in a matrix |
| NumRows | number of rows in a matrix |
| Pfaffian | the Pfaffian of a skew-symmetric matrix |
| PositiveGrading4 | extend a positive grading (for CoCoA-4 multigradings limitation) |
| Product | the product of the elements of a list |
| RevLexMat | matrices for std. term-orderings |
| RowMat | single row matrix |
| Size | the amount of memory used by an object |
| Submat | submatrix |
| Sum | the sum of the elements of a list |
| TensorMat | returns the tensor product of two matrices |
| Toric | saturate toric ideals |
| Transposed | the transposition of a matrix |
| XelMat | matrices for std. term-orderings |