[eigen] Checking if a dense linear system is solvable?

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unfortunately, the dense linear solvers don't have an .info() method.
Invoked with a singular matrix I just get "+-inf".
Checking the determinant isn't an option since, e.g.,
0.1*IdentyMatrix(100,100) has a determinant of 1E-100 although it has only a condition number of 100.

I suggest one either adds an info-method or one returns a vector (matrix) with zero rows.

What do think about that.

Probably, the solve method should have an additional parameter with a sensible default, giving a (relative) tolerance for deciding if a pivot element has to be considered as zero.


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