Question

Resolva a equação matricial: $\left[\begin{array}{ccc}-1&4&5\\0&2&7\\1&-1&-1\end{array}\right]$ + $\left[\begin{array}{ccc}3&5&2\\-1&5&3\\4&2&2\end{array}\right]$ = x+ $\left[\begin{array}{ccc}2&7&2\\8&-1&-3\\-1&9&5\end{array}\right]$

Answer 1

Olá, Bruno.

$\left[\begin{array}{ccc}-1&4&5\\0&2&7\\1&-1&-1\end{array}\right] + \left[\begin{array}{ccc}-3&5&2\\-1&5&3\\4&2&2\end{array}\right] = \\\\\\= \left[\begin{array}{ccc}x_{11}&x_{12}&x_{13}\\x_{21}&x_{22}&x_{23}\\x_{31}&x_{32}&x_{33}\end{array}\right]+ \left[\begin{array}{ccc}2&7&2\\8&-1&-3\\-1&9&5\end{array}\right] \Rightarrow$

$\left[\begin{array}{ccc}-1-3&4+5&5+2\\0-1&2+5&7+3\\1+4&-1+2&-1+2\end{array}\right]= \left[\begin{array}{ccc}x_{11}+2&x_{12}+7&x_{13}+2\\x_{21}+8&x_{22}-1&x_{23}-3\\x_{31}-1&x_{32}+9&x_{33}+5\end{array}\right]\end{array}\right]$

Igualando cada um dos elementos das matrizes à esquerda e à direita da igualdade, encontraremos o valor de cada um dos elementos $x_{ij}$ da matriz $X$ procurada.