i suppose matrices of the form $$A_i=\left(\begin{array}[cc] ccos(x_i)&sin(x_i)\\sin(x_i)&-cos(x_i)\end{array}\right)$$(adsbygoogle = window.adsbygoogle || []).push({});

And i consider the matrix

$$C=A1\otimes A2\otimes 1_4-A1\otimes 1_4\otimes A2$$

I would like to show that the eigenvalues of C are independent of the x

i tried with mathematica but i have no proof.

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# Proof that eigenvalues are constants

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