Hello,

How would I prove that $\displaystyle (Bx\cdot x)(Ax) = (Ax \cdot x)(Bx)$ if $\displaystyle Ax = \lambda Bx$?

I need to prove it without using the fact that I already know that $\displaystyle Ax = \lambda Bx$, because this is the second half of an iff proof, so I can't assume I have that knowledge.

Thanks!