D.3.2.7 busadj
..............
Procedure from library linalg.lib (see linalg_lib).

Usage:
busadj(A); A = square matrix (of size nxn)

Return:
list L:
         L[1] contains the (n+1) coefficients of the characteristic
              polynomial X of A, i.e.
              X = L[1][1]+..+L[1][k]*t^(k-1)+..+(L[1][n+1])*t^n
         L[2] contains the n (nxn)-matrices Hk which are the coefficients of
              the busadjoint bA = adjoint(E*t-A) of A, i.e.
              bA = (Hn-1)*t^(n-1)+...+Hk*t^k+...+H0,  ( Hk=L[2][k+1] )

Example:
LIB "linalg.lib";
ring r = 0,(t,x),lp;
matrix A[2][2] = 1,x2,x,x2+3x;
print(A);
list L = busadj(A);
poly X = L[1][1]+L[1][2]*t+L[1][3]*t2; X;
matrix bA[2][2] = L[2][1]+L[2][2]*t;
print(bA);               //the busadjoint of A;
print(bA*(t*unitmat(2)-A));

<font size="-1">
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; User manual for <a href="http://www.singular.uni-kl.de/"><i>Singular</i></a> version 2-0-4, October 2002,
generated by <a href="http://www.gnu.org/software/texinfo/"><i>texi2html</i></a>.
</font>

</body>
</html>
