up previous next
 4.7.2 Commands and Functions for Matrices
The following are 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

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