Characteristic Polynomial polynomial p(λ)=α0λn+α1λn−1+...+αn−1λ1+αnp(\lambda)=\alpha_0\lambda^n+\alpha_1\lambda^{n-1}+...+\alpha_{n-1}\lambda^{1}+\alpha_np(λ)=α0λn+α1λn−1+...+αn−1λ1+αn p(λ)=det(A−λI)\begin{gather*} p(\lambda)=det(A-\lambda I) \end{gather*}p(λ)=det(A−λI) Solving p(λ)=0\begin{gather*} p(\lambda)=0 \end{gather*}p(λ)=0 Gives λ\lambdaλ values which are eigenvalues of ACommutator