Originally Posted by

**chella182** Wasn't sure where to put this exactly. It's in a question to do with diagonalising matrices (using the matrix of eigenvectors and what not), and I have the solution in front of me, but I'm stuck on how they get from one step to another. I understand the solution up to here...

$\displaystyle \frac{1}{-2i}\frac{2}{\sqrt{2}}\left(\begin{array}{cc}-2-2i & 0 \\ 0 & 2-2i\end{array}\right)$

...which I simplified to...

$\displaystyle \frac{1}{-i\sqrt{2}}\left(\begin{array}{cc}-2-2i & 0 \\ 0 & 2-2i\end{array}\right)$

...or...

$\displaystyle \left(\begin{array}{cc}(2+2i)/(i\sqrt{2}) & 0 \\ 0 & (2-2i)/(-i\sqrt{2})\end{array}\right)$

Now, the answer is apparently $\displaystyle \left(\begin{array}{cc}(1-i)/\sqrt{2} & 0 \\ 0 & (1+i)/\sqrt{2}\end{array}\right)$, but no matter how I manipulate that above, I can't get this answer.

**Any ideas where I'm going wrong / what I'm missing?**