I would define the span over the integers differently, using "span_of_basis" to make sure it uses the basis you specify:
sage: V = ZZ^2 sage: W = V.span_of_basis(R) sage: W Free module of degree 2 and rank 2 over Integer Ring User basis matrix: [1 3] [1 0] sage: W.coordinates([0,3]) [1, -1] These constructions are not all implemented over Integers(15) (but the ZZ coordinates will work over Integers(15), if there is an integer solution). On Friday, February 22, 2019 at 10:41:06 AM UTC-8, chandra chowdhury wrote: > > > Hi, > I take two vectors as follows: > R=[(1, 3), (1, 0)] > > Then I span it over integers like > R=(ZZ^2).span(R) > > It is clear that vector([0,3]) is in R. > I want to find corresponding coordinates i.e, > (1,-1). How can I find this using Sage? > > Instead of integers, is it possible to span over the ring > Integers(15) and find the coordinates? > -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To post to this group, send email to sage-support@googlegroups.com. Visit this group at https://groups.google.com/group/sage-support. For more options, visit https://groups.google.com/d/optout.
