Polinômio característico: diferenças entre revisões
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Em [[álgebra linear]], o '''polinômio característico''' de uma matriz ''A'' ''n x n '' ou de um [[operador linear]] em um [[espaço vetorial]] de dimensão finita é o [[polinômio]]:
Linha 31 ⟶ 30:
\end{vmatrix}</math><math>=\left [ \left ( a_{11}-\lambda \right ) \left ( a_{22}-\lambda \right )\right ]-\left [ a_{12} a_{21}\right ]</math><math>=\lambda^2- \left ( a_{11}+a_{22} \right )\lambda + \left ( a_{11}a_{22} - a_{12}a_{21} \right )</math>
Note que porque a [[matriz]] A tem dimensão 2X2, o [[polinômio]] característico tem grau 2. O número de raízes sempre será 2, embora seja possível que duas raízes tenham o mesmo valor<ref name=simon/>.
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