Question

Calcule os determinantes DET A= 1 -2 -3
2 1 0
-3 -4 5

Answer 1

$\left[\begin{array}{ccc}1&-2&-3\\2&1&0\\-3&-4&5\end{array}\right]$

===

$\left[\begin{array}{ccc}1&-2&-3\\2&1&0\\-3&-4&5\end{array}\right] \left\begin{array}{cc}1&-2\\2&1\\-3&-4\end{array}\right$

1×1×5+(−2)×0×−3+(−3)×2×(−4)−(−3)×1×(−3)−(−4)×0×1(−5)×2×(−2)=40

Det = 40