Hi.

I have 2x2 matrices x, y, z  whose entries are polynomials in 3
variables.
[In fact each matrix involves only one variable, and its terms are
linear over complex numbers in that variable].
I want to solve a equation like : x*y*z == m    [m a given matrix]
(Of course it is just a bunch of four equations - but each of them is
of degree 3, however linear in each variable individually).

In general I would like to solve it symbolically [m = a function of
one variable --- however it is not linear unfortunately].
If not possible, numerical solution would provide some insight.

Any suggestions how to do it?

regards,
Vaibhav

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