Maybe i am saying something stupid (i am used to geometric reasoning in infinite fields, so maybe i am missing something important in this setting) but, wouldn't a random linear combination of the rows of your matrix have a high probability of having all the entries different from zero?
The linear combinations that have some zero coefficient are the intersections of the corresponding subspace with the coordinate hyperplanes. That is, the set of "bad" linear combinations is a subset of codimension 1. The generic elements of the subspace would not belong to it. -- You received this message because you are subscribed to the Google Groups "sage-combinat-devel" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-combinat-devel+unsubscr...@googlegroups.com. To post to this group, send email to sage-combinat-devel@googlegroups.com. Visit this group at http://groups.google.com/group/sage-combinat-devel?hl=en. For more options, visit https://groups.google.com/groups/opt_out.
