Answer:

On looking at components of the two sides, we have

\[4x\text{ }=\text{ }-4\text{ }\Rightarrow x\text{ }=\text{ }-1\]

\[4y\text{ }=\text{ }8\text{ }\Rightarrow \text{ }y\text{ }=\text{ }2\]

Furthermore, \[4z\text{ }=\text{ }4\text{ }\Rightarrow \text{ }z\text{ }=\text{ }1\]

Thus, \[~A\text{ }=\text{ }\left[ -1\text{ }2\text{ }1 \right]\]