up previous next
4.7.2 Commands and Functions for Matrices
The following are commands and functions for matrices:
Adjoint adjoint matrix
BlockMatrix create a block matrix
BringIn bring in objects from another ring
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
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 find the kernel of a matrix
LinSol find a solution to a linear system
List convert an expression into a list
Mat convert an expression into a 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
Pfaffian the Pfaffian of a skew-symmetric matrix
PositiveGrading4 extend a positive grading (for CoCoA-4 multigradings limitation)
Product, Sum the product or sum of the elements of a list
RevLexMat matrices for std. term-orderings
Size the amount of memory used by an object
Submat submatrix
TensorMat returns the tensor product of two matrices
Toric saturate toric ideals
Toric.CheckInput check input to Toric
Transposed the transposition of a matrix
XelMat matrices for std. term-orderings


For details look up each item by name. Online, try ?ItemName or H.Syntax("ItemName").