שינויים

$$\left \langle Au,v \right \rangle=\left \langle u,A^*v \right \rangle\Rightarrow\left \langle \lambda u,v \right \rangle=\left \langle u,\overline{\mu} v \right \rangle\Rightarrow \lambda\left \langle u,v \right \rangle=\mu\left \langle u,v \right \rangle\underset{\lambda\neq\mu}{\Rightarrow}\left \langle u,v \right \rangle=0\RightarrowuRightarrow u\perp v$$