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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 displayed 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);
==> 1, x2,x,
==> x2,6, 4,
==> x, 4, 1
charpoly(A,"t");
==> -x4t+x4-8x3-x2t+t3+6x2-8t2-3t+10
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