please see my code in the question http://stackoverflow.com/questions/19550649/solve-linear-system-over-finite-field-with-module. is not same structure than your example.
thanks 2013/10/23 Robert Bradshaw <[email protected]> > sage: Integers(45)['t'] > Univariate Polynomial Ring in t over Ring of integers modulo 45 > > I don't think we have linear algebra over general non-integral-domains, but > > sage: R = GF(5)['x'] > sage: M = random_matrix(R, 4, 4); b = random_vector(R, 4); x = M \ b > sage: M*x > (4*x^2 + x + 4, x^2 + 2*x + 4, 4*x^2 + 2*x + 3, x^2 + 2*x + 4) > sage: b > (4*x^2 + x + 4, x^2 + 2*x + 4, 4*x^2 + 2*x + 3, x^2 + 2*x + 4) > > > On Wed, Oct 23, 2013 at 11:36 AM, Juan Grados <[email protected]> wrote: > > thanks, and if the system coefficients are polynomials over finite > field? Is > > there PolynomialModRing(p(x))? > > > > > > 2013/10/23 P Purkayastha <[email protected]> > >> > >> Exists in Sage: > >> > >> sage: I6 = IntegerModRing(6) > >> sage: M = random_matrix(I6, 4, 4) > >> sage: v = random_vector(I6, 4) > >> sage: M \ v > >> (4, 0, 2, 1) > >> > >> > >> On 10/23/2013 09:11 PM, Juan Grados wrote: > >>> > >>> Exists in python, any instruction to solve a linear system equations > >>> module n (integer). In mathematica for example If exists > >>> > >>> < > http://mathematica.stackexchange.com/questions/31696/solving-a-system-of-linear-equations-modulo-n > >. > >>> > >>> thanks > >>> > >>> -- > >>> --------------------------------------------------------------------- > >>> MSc.Juan del Carmen Grados Vásquez > >>> Laboratório Nacional de Computação Científica > >>> Tel: +55 24 2233-6260 <tel:%2B55%2024%202233-6260> > >>> (http://www.lncc.br/) > >>> http://juaninf.blogspot.com > >>> --------------------------------------------------------------------- > >>> > >>> -- > >>> 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 [email protected]. > >>> To post to this group, send email to [email protected]. > >>> Visit this group at http://groups.google.com/group/sage-support. > >>> For more options, visit https://groups.google.com/groups/opt_out. > >> > >> > >> > >> -- > >> 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 [email protected]. > >> To post to this group, send email to [email protected]. > >> Visit this group at http://groups.google.com/group/sage-support. > >> For more options, visit https://groups.google.com/groups/opt_out. > > > > > > > > > > -- > > --------------------------------------------------------------------- > > MSc. Juan del Carmen Grados Vásquez > > > > Laboratório Nacional de Computação Científica > > Tel: +55 24 2233-6260 > > (http://www.lncc.br/) > > http://juaninf.blogspot.com > > --------------------------------------------------------------------- > > > > -- > > 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 [email protected]. > > To post to this group, send email to [email protected]. > > Visit this group at http://groups.google.com/group/sage-support. > > For more options, visit https://groups.google.com/groups/opt_out. > > -- > 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 [email protected]. > To post to this group, send email to [email protected]. > Visit this group at http://groups.google.com/group/sage-support. > For more options, visit https://groups.google.com/groups/opt_out. > -- --------------------------------------------------------------------- MSc. Juan del Carmen Grados Vásquez Laboratório Nacional de Computação Científica Tel: +55 24 2233-6260 (http://www.lncc.br/) http://juaninf.blogspot.com --------------------------------------------------------------------- -- 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 [email protected]. To post to this group, send email to [email protected]. Visit this group at http://groups.google.com/group/sage-support. For more options, visit https://groups.google.com/groups/opt_out.
