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D.3.1.6 genericmat
Procedure from library matrix.lib (see matrix_lib).
- Usage:
genericmat(n,m[,id]); n,m=integers, id=ideal
- Return:
nxm matrix, with entries from id.
- Note:
if id has less than nxm elements, the matrix is filled with 0’s, (default: id=maxideal(1)).
genericmat(n,m); creates the generic nxm matrix
Example:
LIB "matrix.lib"; ring R = 0,x(1..16),lp; print(genericmat(3,3)); // the generic 3x3 matrix → x(1),x(2),x(3), → x(4),x(5),x(6), → x(7),x(8),x(9) ring R1 = 0,(a,b,c,d),dp; matrix A = genericmat(3,4,maxideal(1)^3); print(A); → a3, a2b,a2c,a2d, → ab2,abc,abd,ac2, → acd,ad2,b3, b2c int n,m = 3,2; ideal i = ideal(randommat(1,n*m,maxideal(1),9)); print(genericmat(n,m,i)); // matrix of generic linear forms → 4a-8b-2c-3d,-a+b-4c+5d, → -8a-9b+c+7d,a-9b+9c+4d, → 6a-5b+9c, 2a+8c+d |