Singular Manual: charpoly

| #### 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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