Need help to solve simultaneous equation in Mathematica

[kaizen.moto]

Hi everyone, please help me to solve my difficulties with regard to simultaneous equations using Mathematica.

Thanks for any response.

 

[Dale]

It looks like your system of equations does not have a solution. You might try using CoefficientArrays to turn it into a matrix problem.

EDIT: Hmm, something seems strange. I turned this into a matrix problem by

{b, m} = CoefficientArrays[eqn, vars]

And it turns out that Det[m] gives a non-zero result, so there should be a solution. And, in fact, Inverse[m].b gives a good array of coefficients. However, SingularValueList[m] shows that there are a lot of degenerate singular values, so the singular value decomposition is not unique. I don't know if that means that maybe there is not a unique solution.

Are the small imaginary numbers correct, or can we Chop those off?

 

[kaizen.moto]

Thanks for reply..

Actually, I have chopped off the real values of U1, U2, V1 and V2, because they are too lenghty, and I could not fit in the attachement file. Perhaps, if I use the full expressions of U1, U2, V1 and V2, it would give me the good response. I don't know if I could send you the complete file.

Yes the imaginary parts are very small, they are correct. I think I just better keep them throughout.

By the way, I have checked from the manual and books, I really don't have idea how the CoefficientArrays and SingularValueList[m] works as Iam relatively new to Mathematica. For now, Iam trying to figure out what those terms mean and help me to solve my problems.

Thanks anyway.