B+xA=[tex] \left[\begin{array}{ccc}0&0&1\\0&1&0\\1&0&0\end{array}\right] [/tex]+x[tex] \left[\begin{array}{ccc}0&1&0\\1&0&1\\0&1&0\end{array}\right] [/tex]=[tex] \left[\begin{array}{ccc}0&0&1\\0&1&0\\1&0&0\end{array}\right] +[tex] \left[\begin{array}{ccc}0&x&0\\x&0&x\\0&x&0\end{array}\right] [/tex]=[tex] \left[\begin{array}{ccc}0&x&1\\x&1&x\\1&x&0\end{array}\right] [/tex]
det(B+xA)=1⇒ 2[tex] x^{2} [/tex]-1=1⇒[tex] x^{2} [/tex]=1⇒x₁,₂=±1⇒
