$2\mathrm{.}1.I_z$ operator: Recall that the wave functions can be specified by their quantum numbers as $|I,m$:$|$ and that they are eigenfunctions of the $I_z$ operator: $I_z|I,m$:$|.$ Also recall that $|$:$|$ and $|$:$|$ are used as abbreviations for $|\frac{1}{2},\frac{1}{2}$:$|$ and $|\frac{1}{2},-\frac{1}{2}$:$|,$ respectively. Complete the following relationships:

$I_z|1,1$:$|$