Let \( A=\left[\begin{array}{rrr}-1 & 0 & -1 \\ 3 & 4 & -2\end{array}\right] \) and \( f_{A} \) be the corresponding matrix mapping.
Determine the domain and codomain of \( \mathrm{f}_{\mathrm{A}} \).
Domain \( =\boldsymbol{R}^{3} \), Codomain \( =\boldsymbol{R}^{3} \).
Domain \( =\boldsymbol{R}^{2} \), Codomain \( =\boldsymbol{R}^{3} \).
Domain \( =\boldsymbol{R}^{2} \), Codomain \( =\boldsymbol{R}^{2} \).
Domain \( =\boldsymbol{R}^{3} \), Codomain \( =\boldsymbol{R}^{2} \).