I can't seem to prove this identity I have been given:
$\langle v,w\rangle \cdot \langle w,v\rangle = |\langle v,w\rangle|^2$
Could you please outline how to go about it?
I can't seem to prove this identity I have been given:
$\langle v,w\rangle \cdot \langle w,v\rangle = |\langle v,w\rangle|^2$
Could you please outline how to go about it?
Just from the definition of the hermitian product
$$\overline{\langle v,w\rangle}=\langle w,v\rangle$$
and for $z\in\Bbb C$, $z\overline z=\vert z\vert^2$.