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4.7.2 Commands and Functions for Matrices
***** NOT YET UPDATED TO CoCoA-5: follow with care *****

The following are commands and functions for matrices:
adjoint adjoint matrix
AlmostQR QR decomposition of a matrix
BlockMat create a block matrix
BringIn bring in objects from another ring
CharPoly characteristic polynomial of a matrix
CheckArgTypes Check types in a list
ColMat single column matrix
ColumnVectors the list of column vectors of a matrix
ConcatAntiDiag create a simple block matrix
ConcatDiag create a simple block matrix
ConcatHor create a simple block matrix
ConcatVer create a simple block matrix
det the determinant of a matrix
DiagMat matrix with given diagonal
Eigenvectors eigenvalues and eigenvectors of a matrix
HilbertBasis Hilbert basis for a monoid
IdentityMat 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
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
matrix convert an expression into a 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
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
StdDegLexMat matrices for std. term-orderings
StdDegRevLexMat matrices for std. term-orderings
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


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