Solution (source code)

= Solution
{c}

The identity is the <identity matrix>
$$
\boxed{e=h(0,0,0)=I_3=\begin{pmatrix}1&0&0\\0&1&0\\0&0&1\end{pmatrix}.}
$$
Left or right <matrix multiplication> by it preserves every entry, as is also immediate from the product formula above.