How to set the floating point precision beyond e-22?

Duncan Murdoch <murdoch at stats.uwo.ca> writes:

You will have to find a different solution to the problem.  To machine 
precision, that matrix looks singular.  This usually indicates that it's 
not the right matrix to try to invert.

It might be a scaling issue though: If you're measuring age in days
and hormone concentrations in Molar, then you'll get that sort of
eigenvalue ratios in a fairly benign way.