R help - Jun 2010 - About lm.ridge in the MASS package

Hi,

I had a questions about doing ridge regression in R. 

Why is it that when I try this on datasets with more predictors than samples
(p>n) using lambda=0, it still finds coefficients for all predictors? I
thought when lambda=0, it should be like ordinary regression and therefore not
find coefficients for all due to singularity?

I would greatly appreciate your help.

Thank you,

--James K.