Question

Gente, essa vale 50 PONTOS rs. ME AJUDAA!!

Aplicando a regra de Sarrus, calcule os determinantes:
a) 3 2 -1 b) 2 1 -2
5 0 4 3 -1 0
2 -3 1 4 1 -3

(de forma explicativa please!!)

Answer 1

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

+(3×0×1)+(2×4×2)+(-1×5×-3)
-(-1×0×2)-(4×-3×3)-(1×5×2)
0+16+15-0+36-10=57

$\left[\begin{array}{ccc}3&2&-1\\5&0&4\\2&-3&1\end{array}\right]$=57

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

+(2×-1×-3)+(1×0×4)+(-2×3×1)-(-2×-1×4)-(0×4×2)-(3×1×-3)=
+6+0-6-8-0+9=1

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