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Determinante de $$$\left[\begin{array}{cc}8 - \lambda & 8\\8 & 8 - \lambda\end{array}\right]$$$
Calculadora relacionada: Calculadora de matriz de cofactores
Tu entrada
Calcular $$$\left|\begin{array}{cc}8 - \lambda & 8\\8 & 8 - \lambda\end{array}\right|$$$.
Solución
El determinante de una matriz 2x2 es $$$\left|\begin{array}{cc}a & b\\c & d\end{array}\right| = a d - b c$$$.
$$$\left|\begin{array}{cc}8 - \lambda & 8\\8 & 8 - \lambda\end{array}\right| = \left(8 - \lambda\right)\cdot \left(8 - \lambda\right) - \left(8\right)\cdot \left(8\right) = \lambda^{2} - 16 \lambda$$$
Respuesta
$$$\left|\begin{array}{cc}8 - \lambda & 8\\8 & 8 - \lambda\end{array}\right| = \lambda \left(\lambda - 16\right)$$$A
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