residue class IFn characteristic Polynomial Eigenvalues

Author:
hawe

Restklassen-Körper IF (CharPoly+EigenWerte_IF7)

Sage Code

f=GF(5) X=PolynomialRing(f,'X').gen() M=MatrixSpace(f,3,3) A=M([[2,2,2],[3,2,1],[2,4,0]]) A_p=A.charpoly() print('Matrix A:') print(A) print('characteristic polynomial: ',A_p) print('factorization: ',A_p.factor()) print('minimal poly: ',A.minpoly()) --- Rational Matrix (QQ), Integer Matrix(ZZ) Sage-Online