Hello,
I am quite new with SageMath, and I don't succeed in defining complex symbolic variables.
In the following example, SageMath seems to compute as if the variables were real (and not complex) :
var('w_2, w_3')
T=Matrix([[norm(w_3)*(1-norm(w_2)), -conjugate(w_3)*sqrt(1-norm(w_2))*sqrt(1-norm(w_3))], [-w_3*sqrt(1-norm(w_2))*sqrt(1-norm(w_3)), 1-norm(w_3)]])
T.eigenvalues()
The output of this command is
[-w_2^2*w_3^2 + 1, 0]
whereas the expected result was
[1-norm(w_2)*norm(w_3), 0]
How can I tell SageMath that my symbolic variables are complex ones ?
Thanks in advance for your help !