Solve symbolic matrix equations

asked 2015-02-23 02:38:48 +0200

Burrito gravatar image

updated 2020-06-01 11:44:15 +0200

FrédéricC gravatar image

Let $S$ be a given matrix belonging to some matrix space over a ring. I wonder if SAGE can find matrices, say $A, B, $ in such a space, satisfying the equations $A + B = S$ and $AB = S$. Is there a way to do this? Thanks!

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This is a long standing ticket in Sage:

rws gravatar imagerws ( 2015-02-24 10:06:24 +0200 )edit (Here) is something similar

aijony gravatar imageaijony ( 2017-09-20 03:58:52 +0200 )edit