I did a quick search on google but I did not find anything.

$\displaystyle \begin{pmatrix}2&-1-i\\-1+i&1\end{pmatrix}$

Is this the right approach:

1. divide the first row by 2

2. add the first row to row 2...

$\displaystyle \begin{pmatrix}1&(-1-i)/2\\i&1/2-i/2\end{pmatrix}$

is this good so far?

now should I divide the 2nd row by i, and then subtract is by row 1?