Singular Manual: genericmat

| #### 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

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