LAIP6

Show that $\langle \alpha x, \beta y\rangle = \alpha\overline{\beta}\langle x, y\rangle$

$\langle \alpha x, \beta y\rangle$	$= \alpha \langle x, \beta y\rangle$
	$= \alpha \overline{\langle \beta y, x\rangle}$
	$= \alpha \overline{\beta \langle y, x\rangle}$
	$= \alpha \overline{\beta}\ \overline{\langle y, x\rangle}$
	$= \alpha \overline{\beta}\langle x, y\rangle$