You (hongy) might be interested in
Matrix Groups (Universitext) 2nd Edition
by M. L. Curtis (Author)
Which is a pretty good introduction; although the price is a little high.
On 7/1/22 13:38, 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]])
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/143f4daf-9e77-4b1b-92f4-ab8cde91a1bbn%40googlegroups.com
<https://groups.google.com/d/msgid/sage-support/143f4daf-9e77-4b1b-92f4-ab8cde91a1bbn%40googlegroups.com?utm_medium=email&utm_source=footer>.
--
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/4385e0f7-d3cb-e889-e855-b168ecb25841%40gmail.com.
