Hi again,

On Dec 17, 11:05 am, Simon King <k...@mathematik.uni-jena.de> wrote:
--snip--
> Namely, one can do the following:
> sage: n=2
> sage: A=Matrix([[var('a_%d_%d'%(i,j)) for j in range(n)] for i in range
> (n)])
> sage: solve((A*A.transpose()).list(), A.list())

Oops, I forgot that I wanted orthogonal matrices. But Helas:
sage: solve((A*A.transpose()-MatrixSpace(QQ,2)(1)).list(), A.list())
---------------------------------------------------------------------------
ValueError                                Traceback (most recent call
last)
...
ValueError: Unable to solve [a_0_1^2 + a_0_0^2 - 1, a_0_1*a_1_1 +
a_0_0*a_1_0, a_0_1*a_1_1 + a_0_0*a_1_0, a_1_1^2 + a_1_0^2 - 1] for
([a_0_0, a_0_1, a_1_0, a_1_1],)

Bad luck indeed.

Best regards,
       Simon
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