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    $\begingroup$ Bad conditioning is not a Mathematica problem. Mathematica tells you that your matrix is badly conditioned, but it says something about your problem and the choices you made when modeling it numerically. $\endgroup$ Commented Jan 3, 2023 at 9:14
  • $\begingroup$ You could try machine precision with the 'LinearSolve[...., Method -> Pardiso]' $\endgroup$ Commented Jan 3, 2023 at 18:36