Find the $3 \times 3$ matrix $\bfA$ satisfying \begin{align}
\bfA \begin{pmatrix}1\\0\\0\end{pmatrix} &= \begin{pmatrix}1\\2\\3\end{pmatrix}, \quad
\bfA \begin{pmatrix}0\\1\\0\end{pmatrix} = \begin{pmatrix}4\\5\\6\end{pmatrix}, \quad
\bfA \begin{pmatrix}0\\0\\1\end{pmatrix} = \begin{pmatrix}7\\8\\9\end{pmatrix}.\\
\end{align}