Question

Não estou conseguindo de jeito nenhum resolver esse exercício sobre matrizes, alguém poderia me ajudar?

Answer 1

$\left[\begin{array}{ccc}x\\y\\z\end{array}\right] + \left[\begin{array}{ccc}3\\-1\\5\end{array}\right] = \left[\begin{array}{ccc}10\\-4\\5\end{array}\right]\\\\\\ \left[\begin{array}{ccc}x+3\\y+(-1)\\z+5\end{array}\right] = \left[\begin{array}{ccc}10\\-4\\5\end{array}\right]\\\\\\ \left[\begin{array}{ccc}x+3\\y-1\\z+5\end{array}\right] = \left[\begin{array}{ccc}10\\-4\\5\end{array}\right]$

Disso temos 3 equações:

$x+3=10\\\\ y-1=-4\\\\ z+5=5\\\\\\ x=10-3\\\\ y=-4+1\\\\ z=5-5\\\\\\ x=7\\ y=-3\\ z=0$