On Wed, May 14, 2014 at 1:52 AM, <nt.a.am1...@gmail.com> wrote: > Dear John > I recently became acquainted with the software and its capabilities. I like > to every value p, the two subspace subscribe to my account. Grateful for > your guidance. > >
This is a problem in matrix theory which can be solved using row-reduction. In an example, the following codes works: sage: p = 13 sage: F = K = GF(p) sage: y1 = 3 sage: V = F^9 sage: v1 = vector(F, [0,0,0,-y1-1,1,0,0,0,0]) sage: v2 = vector(F, [y1,-y1,-1,1,0,y1,1,0,0]) sage: v3 = vector(F, [0,y1,-y1,0,0,0,0,0,1]) sage: v4 = vector(F, [y1,0,0,0,0,0,0,1,0]) sage: W = V.span([v1, v2, v3, v4]) sage: W sage: U = F^9 sage: u1 = vector(F, [0,0,1,0,0,0,1,0,0]) sage: u2 = vector(F, [0,0,0,1,0,1,0,0,0]) sage: u3 = vector(F, [1,0,0,0,0,0,0,0,0]) sage: u4 = vector(F, [0,0,0,0,0,0,0,0,1]) sage: u5 = vector(F, [0,0,0,0,1,0,0,0,0]) sage: u6 = vector(F, [0,1,0,0,0,0,0,1,0]) sage: E = U.span([u1, u2, u3, u4, u5, u6]) sage: E Basically, you are finding the kernel of a matrix. Since the kernel possibly depends on p, it may be that there is no "symbolic" solution. Is this a homework problem for a class? > -- > 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 http://groups.google.com/group/sage-support. > For more options, visit https://groups.google.com/d/optout. -- 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 http://groups.google.com/group/sage-support. For more options, visit https://groups.google.com/d/optout.
