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Benedict Irwin added Eigenvalue Polynoms.tex
over 9 years ago
Commit id: d02431164dae55d415c0e824202eda5ad8c48325
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\section{Eigenvalue Polynomials}
For 2x2: \begin{equation}
\lambda^2-Tr(A)\lambda+det(A)=0
\end{equation}
For 3x3: \begin{equation}
-\lambda^3 + Tr(A)\lambda^2 +Prop(A)\lambda + det(A) = 0
\end{equation}
Where \begin{equation}
Prop(A)=a_{21}a_{12}+a_{31}a_{13}+a_{32}a_{23}-a_{11}a_{22}-a_{22}a_{33}-a_{11}a_{33}
\end{equation}
Not sure what this relates to at this stage.
