On Saturday, July 2, 2022 at 1:38:59 AM UTC+8 John H Palmieri wrote:
> Is this the sort of thing you're looking for? > > def matrix_rep(z): > """ > INPUT: complex number z = a + bi > OUTPUT: the matrix > [a -b] > [b a] > """ > a = z.real_part() > b = z.imag_part() > return matrix(RR, [[a, -b], [b, a]]) > I want to identify the ring isomorphism between them programmatically, instead of defining a function based on this ring isomorphism. Best, HZ > > On Friday, July 1, 2022 at 3:04:40 AM UTC-7 hongy...@gmail.com wrote: > >> How can I find the matrix representations corresponding to complex >> numbers and quaternions with the help of SageMath >> <https://www.sagemath.org/>, i.e., the ring isomorphism >> <https://en.wikipedia.org/wiki/Ring_isomorphism> from the field of >> complex numbers and quaternions to the rings of corresponding matrices, >> respectively, as described here >> <https://en.wikipedia.org/wiki/Complex_number#Matrix_representation_of_complex_numbers> >> >> and here >> <https://en.wikipedia.org/wiki/Quaternion#Matrix_representations>? >> >> Regards, >> HZ >> > -- 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 view this discussion on the web visit https://groups.google.com/d/msgid/sage-support/0f6a9fab-2f64-44f6-b1ca-07f43525090dn%40googlegroups.com.
