Pauli matrices have trace 0

Pauli Matrixes have Trace 0 since: $tr({\sigma }_x)=tr\left(\begin{array}{cc}0& 1\\ 1& 0\end{array}\right)=0+0=0$ $tr({\sigma }_y)=tr\left(\begin{array}{cc}0& -i\\ i& 0\end{array}\right)=0+0=0$ $tr({\sigma }_z)=tr\left(\begin{array}{cc}1& 0\\ 0& -1\end{array}\right)=1+(-1)=0$