Hello, I am using a matrix and finding roots of a polynomial, where the coefficients are based of different combinations of the entries in the matrix. If ln(1), Ln(2), ln(3), ln(4) are on the main diagonal, the answer should be the same as the answer for ln(2), Ln(1), ln(3), ln(4) on the main diagonal. However I am getting two different answers. All math is multiplication and addition so it should be communicative and yield the same answers. Here is my Code, any ideas to a solution?(adsbygoogle = window.adsbygoogle || []).push({});

roots[W_] := ((*This function takes in a Work of Charging matrix that is all \

numbers and yeilds the roots of the Binding Polynomial.*)

fu[X_, x_, y_] := X[[x]][[y]];

W11 = fu[W, 1, 1];

W22 = fu[W, 2, 2];

W33 = fu[W, 3, 3];

W44 = fu[W, 4, 4];

W12 = fu[W, 1, 2];

W13 = fu[W, 1, 3];

W23 = fu[W, 2, 3];

W14 = fu[W, 1, 4];

W24 = fu[W, 2, 4];

W34 = fu[W, 3, 4];

C0 = 1;

C1 = E^(-W11) + E^(-W22) + E^(-W33) + E^(-W44) // N;

Print["C1: ", C1];

C2 = E^(-(W11 + W22 + (2*W12))) + E^(-(W22 + W33 + (2*W23))) +

E^(-(W33 + W44 + (2*W34))) + E^(-(W11 + W33 + (2*W13))) +

E^(-(W11 + W44 + (2*W14))) + E^(-(W22 + W44 + (2*W24))) // N;

Print["C2: ", C2];

C3 = E^(-(W11 + W22 + W33 + (2*W12) + (2*W13) + (2*W23))) +

E^(-(W22 + W33 + W44 + (2*W23) + (2*W24) + (2*W34))) +

E^(-(W33 + W44 + W11 + (2*W34) + (2*W13) + (2*W14))) +

E^(-(W11 + W22 + W44 + (2*W12) + (2*W14) + (2*W24))) // N;

Print["C3: ", C3];

C4 = E^(-(W11 + W22 + W33 + W44)) // N;

Print["C4: ", C4];

answer =

Solve[Evaluate[C4]*(x^4) + Evaluate[C3]*(x^3) +

Evaluate[C2]*(x^2) + Evaluate[C1]*x + Evaluate[C0] == 0, x] //

N;

finalAnswer = Flatten[Evaluate[x /. answer]]);

(*End of Function.*)

A = {{Evaluate[Log[1]], 0, 0, 0}, {0, Evaluate[Log[2]], 0, 0}, {0, 0,

Evaluate[Log[3]], 0}, {0, 0, 0, Evaluate[Log[4]]}};(*//MatrixForm*)

roots[A]

Thanks,

Lauren

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# Mathematica-Commutive answers not equal

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