h.chpol

来自「强大的数学工具包」· CHPOL 代码 · 共 44 行

                                * * * * * * *
                                *   chpol   *
                                * * * * * * *

        "characteristic polynomial"
        SYNTAX: X = chpol(A, X1)

        A is a square matrix over Z, Q, Z/mZ, GF(p^n) (where p is a
        prime), number fields, polynomials over these structures or 
        rational functions.
        X1 is a variable not occuring in the matrix.

        X is assigned the characteristic polynomial of the matrix 
        A in the variable X1.


        Example 1: (incorrect)

                chpol({{x, y} {z, w}}, y)

_ERR_NR_081


        Example 2: (correct)

                chpol({{1, 0} {0, NF(A)}}, x)


        Example 3: (incorrect)

                chpol({{x, 4711}}, y)

_ERR_NR_080


        Example 4: (correct)

                chpol({{u/v, 0} {0, 1/y}}, x)


        Example 5: (correct)

                chpol({{GF(3*A^2+A),4}{2*GF(A),2}},z)