Question

MATRIZ ANTISSIMÉTRICA - Ajuuuda? Segue em anexo

Answer 1

Olá!
 
 Inicialmente, devemos encontrar a transposta de A. Para isso, basta trocar as linhas pelas colunas e as colunas pelas linhas. Portanto, $A^t=\begin{pmatrix}0&4&y-2\\x&0&2\\3&3z+1&0\end{pmatrix}$.
 
 Segue que,

$A=-A^t\\\\\begin{pmatrix}0&x&3\\4&0&3z+1\\y-2&2&0\end{pmatrix}=-\begin{pmatrix}0&4&y-2\\x&0&2\\3&3z+1&0\end{pmatrix}\\\\\\\begin{pmatrix}0&x&3\\4&0&3z+1\\y-2&2&0\end{pmatrix}=\begin{pmatrix}0&-4&-y+2\\-x&0&-2\\-3&-3z-1&0\end{pmatrix}\\\\\\\begin{cases}x=-4\\3=-y+2\Rightarrow\,y=-1\\3z+1=-2\Rightarrow\,z=-1\end{cases}$
 
 Logo,

$E=\frac{x+y}{z}\\\\E=\frac{-4-1}{-1}\\\\E=\frac{-5}{-1}\\\\\boxed{\boxed{E=5}}$