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3.7.2. 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, DegRevLexMat, LexMat, XelMat -- matrices for std. term-orderings
  * Det -- the determinant of a matrix
  * HilbertBasis -- Hilbert basis for a monoid
  * Identity -- the identity matrix
  * Inverse -- multiplicative inverse
  * IsZero -- test whether an object is zero
  * Jacobian -- the Jacobian of a list of polynomials
  * Len -- the length of an object
  * 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
  * Minors -- list of minor determinants of a matrix
  * NewMat -- create a new matrix
  * Pfaffian -- the Pfaffian of a skew-symmetric matrix
  * Product, Sum -- the product or sum of the elements of a list
  * 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

Details can be found by looking up each item by name.  Online, try
'?ItemName' or 'H.Syntax("ItemName")'.