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Mathematica bug??


{{Sqrt[1 - 2/r], 0, 0, 0}, {0, 1/Sqrt[1 - 2/r], 0, 0}, {0, 0, r,
   0}, {0, 0, 0, r Sin[\[Theta]]}} // Inverse

gives

{{0, 0, 0, 0}, {0, 0, 0, 0}, {0, 0, 1/r, 0}, {0, 0, 0, Csc[\[Theta]]/
  r}}

with no warnings.  This is a *diagonal* matrix that should be
trivially invertible.

Does anyone know why Inverse has catastrophically failed here?


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