Question

calcule o determinante
4 1 5
2 3 2
3 1 4​

Answer 1

Explicação:

Temos a seguinte matriz A:

$A=\left[\begin{array}{ccc}4&1&5\\2&3&2\\3&1&4\end{array}\right]$

Calculando o determinante:

$detA=\left|\begin{array}{ccc}4&1&5\\2&3&2\\3&1&4\end{array}\right|\\\\\text Usando\ a\ Regra\ de\ Sarrus:\\\\detA=\left|\begin{array}{ccc}4&1&5\\2&3&2\\3&1&4\end{array}\right\left|\begin{array}{ccc}4&1\\2&3\\3&1\end{array}\right|\\\\detA=4.3.4+1.2.3+5.2.1-1.2.4-4.2.1-5.3.3\\\\detA=48+6+10-8-8-45\\\\\boxed{\boxed{detA=3}}$