D.3.2.8 charpoly

Procedure from library linalg.lib (see linalg_lib).

Usage:

charpoly(A[,v]); A square matrix, v string, name of a variable

Return:

poly, the characteristic polynomial det(E*v-A)
(default: v=name of last variable)

Note:

A must be independent of the variable v. The computation uses det. If printlevel>0, det(E*v-A) is diplayed recursively.

Example:

LIB "linalg.lib";
ring r=0,(x,t),dp;
matrix A[3][3]=1,x2,x,x2,6,4,x,4,1;
print(A);
charpoly(A,"t");