CoCoA:Mat

Mat

convert an expression into a matrix

Description

This function converts the expression E into a matrix. The first form

is equivalent to Cast(E,MAT).

Example

  Use R ::= Q[x,y];
  L := [[1,2],[3,4]];
  Mat(L);
Mat([
  [1, 2],
  [3, 4]
])
-------------------------------
  M := Module([x,x^2,y],[x^2,y,0]);
  Mat(M);
Mat([
  [x, x^2, y],
  [x^2, y, 0]
])
-------------------------------
  Mat([[1,2],[3,4]]);
Mat([
  [1, 2],
  [3, 4]
])
-------------------------------
  Mat[[1,2],[3,4]];    -- only square brackets is obsolescent!
Mat([
  [1, 2],
  [3, 4]
])
-------------------------------
  -- a slightly more obscure example: allowed, but discouraged!
  M := Mat([[<quotes>a</quotes>,<quotes>b</quotes>],[<quotes>c</quotes>,[1,2]]]);
  N := Mat([[<quotes>d</quotes>,<quotes>e</quotes>],[<quotes>f</quotes>,[3,4]]]);
  M+N;
Mat([
  [<quotes>ad</quotes>, <quotes>be</quotes>],
  [<quotes>cf</quotes>, [4, 6]]
])
-------------------------------

Syntax

Mat(E):MAT
Mat[E]:MAT -- obsolescent!

where E is either: a <em>rectangular</em> lists of lists, a vector, or a
module.

BlockMatrix

NewMat

ColMat

RowMat

MakeMatByRows, MakeMatByCols

DiagonalMat

MatConcatHor

MatConcatVer

   <type>list</type>
   <type>matrix</type>
   <type>vector</type>