Singular Manual: inverse_B

| #### D.3.2.2 inverse_B Procedure from library `linalg.lib` (see linalg_lib). Usage: inverse_B(A); A = square matrix Return: list Inv with - Inv[1] = matrix I and - Inv[2] = poly p such that I*A = unitmat(n)*p; Note: p=1 if 1/det(A) is computable and p=det(A) if not; the computation uses busadj. Example:
    LIB "linalg.lib";
    ring r=0,(x,y),lp;
    matrix A[3][3]=x,y,1,1,x2,y,x,6,0;
    print(A);
    ==> x,y, 1,
    ==> 1,x2,y,
    ==> x,6, 0
    list Inv=inverse_B(A);
    print(Inv[1]);
    ==> 6y,  -6,    x2-y2,
    ==> -xy, x,     xy-1,
    ==> x3-6,-xy+6x,-x3+y
    print(Inv[2]);
    ==> x3-xy2+6xy-6
    print(Inv[1]*A);
    ==> x3-xy2+6xy-6,0,           0,
    ==> 0,           x3-xy2+6xy-6,0,
    ==> 0,           0,           x3-xy2+6xy-6
See also: inverse; inverse_L.

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