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. termorderings

DegRevLexMat

matrices for std. termorderings

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 antisymmetric

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 termordering

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. termorderings

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 skewsymmetric matrix

PositiveGrading4

extend a positive grading (for CoCoA4
multigradings limitation)

Product

the product of the elements of a list

RevLexMat

matrices for std. termorderings

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. termorderings
