$2\mathrm{.}7\mathrm{.}9$ In each part, a parity$-$check matrix for a linear code $C$ is given. Find $($i$)$ a generator matrix for ; $($ii$)$ a generator matrix for $C.$

$*($c$)H=\left[\begin{array}{ccc}1& 1& 1\\ 1& 1& 0\\ 1& 0& 1\\ 0& 1& 1\\ 1& 0& 0\\ 0& 1& 0\\ 0& 0& 1\end{array}\right]$