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Determinante de $$$\left[\begin{array}{cc}2 - \lambda & 1\\5 & 5 - \lambda\end{array}\right]$$$
Calculadora relacionada: Calculadora de matriz de cofactores
Tu entrada
Calcular $$$\left|\begin{array}{cc}2 - \lambda & 1\\5 & 5 - \lambda\end{array}\right|$$$.
Solución
El determinante de una matriz 2x2 es $$$\left|\begin{array}{cc}a & b\\c & d\end{array}\right| = a d - b c$$$.
$$$\left|\begin{array}{cc}2 - \lambda & 1\\5 & 5 - \lambda\end{array}\right| = \left(2 - \lambda\right)\cdot \left(5 - \lambda\right) - \left(1\right)\cdot \left(5\right) = \lambda^{2} - 7 \lambda + 5$$$
Respuesta
$$$\left|\begin{array}{cc}2 - \lambda & 1\\5 & 5 - \lambda\end{array}\right| = \lambda^{2} - 7 \lambda + 5$$$A
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