Question

calcule o determinante da matriz

Answer 1

Resposta:

$detN=2$

Explicação passo a passo:

$N=\left[\begin{array}{ccc}2&5&-3\\-1&3&6\\-1&4&7\end{array}\right]\\\\\\detN=\left|\begin{array}{ccc}2&5&-3\\-1&3&6\\-1&4&7\end{array}\right|\left\begin{array}{ccc}2&5&\\-1&3\\-1&4\end{array}\right|\\\\\\=2\bullet3\bullet7+5\bullet6\bullet(-1)-3\bullet(-1)\bullet4-(5\bullet(-1)\bullet7)-(2\bullet6\bullet4)-(-3\bullet3\bullet(-1))\\\\=42-30+12+35-48-9=89-87=2$