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
>
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