# Thread: Gauss-Jordan with complex numbers

1. ## Gauss-Jordan with complex numbers

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?

2. Originally Posted by chrisc
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?
Divide the first row by $\displaystyle 2$ is OK

but then subtract $\displaystyle -1+i$ times the first row from the second.

(the reason you found nothing specific to complex matrices is that the process is identical to that for real matrices)

CB