Dear Shashank,

Thanks for your report. This is indeed a bug in
matrix_symbolic_dense.pyx. Please post the url of the ticket
in this thread.

Note that on sage 9.3 this will not be a problem on this
particular example since the number ``i`` will not belong
anymore to the symbolic ring.

sage: parent(i)
Number Field in I with defining polynomial x^2 + 1 with I = 1*I

Best
Vincent

Le 19/04/2021 à 21:20, Shashank Balaji a écrit :
Hello,

I am using version 9.2 of Sage. I encountered the following error:

*Input*:
m = matrix([[1 - 2 * i, 2, 3 - i], [0, -1 + i, 4], [3, i, -1]])
t = linear_transformation(m)
t.eigenvalues()

*Output*:
TypeError                                 Traceback (most recent call last)
<ipython-input-3-c9bd1ed2c26c> in <module>
----> 1 t.eigenvalues()

~/sage/sage-9.2/local/lib/python3.8/site-packages/sage/modules/free_module_morphism.py
in eigenvalues(self, extend)
     445         if self.base_ring().is_field():
     446             if self.is_endomorphism():
--> 447                 return self.matrix().eigenvalues(extend=extend)
     448             else:
     449                 raise TypeError("not an endomorphism")

TypeError: eigenvalues() takes no keyword arguments


On looking into the source code (I built Sage from source), I found that
the function eigenvalue(self, extend) defined in
sage/modules/free_module_morphism.py calls the function eigenvalue(self)
defined in sage/matrix/matrix_symbolic_dense.pyx. Hence the argument
mismatch.

If it is indeed a bug, I would be happy to file a ticket.

Best,
Shashank


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