Question

Determine o valor da determinante:

Answer 1

Resposta:

$a) \ detA= 15\\b) \ detB= 42\\c) \ detC= 2$

Explicação passo-a-passo:

$A=\left[\begin{array}{ccc}3&2&5\\4&1&3\\2&3&4\end{array}\right] \left\begin{array}{ccc}3&2\\4&1\\2&3\end{array}\right]=detA=12+12+60-(10+27+32)=\\detA=15\\\\B=\left[\begin{array}{ccc}0&3&0\\-2&3&1\\4&-2&5\end{array}\right]\left\begin{array}{ccc}0&3\\-2&3\\4&-2\end{array}\right]=detB=12-(-30)=\\ detB=42\\\\C=\left[\begin{array}{ccc}2&2&0\\1&1&1\\4&3&0\end{array}\right]\left\begin{array}{ccc}2&2\\1&1\\4&3\end{array}\right] =detC=8-(6)=\\detC=2$