Question

Calcule o valor dos determinantes
2 3 -1
1 1 -1
3 4 0

Answer 1

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

$2 \times 1 \times 0 + 3 \times (-1) \times 3 + (-1) \times 1 \times 4 - (3 \times 1 \times (-1) \times 2 + 0 \times 1 \times 3)$

$0 - 9 - 4 - (-3 - 8 + 0)$

$-9-4-(-11)$

$-9-4+11$

$-13-11$

$-2$