Your images don't link right. Can you post them again?
-Dan
I have a really long homework question that I need help with. There are a couple of parts to it so I appreciate anyone that can help out.
It starts by just stating that a basis is an orthonormal basis if the following holds for all :
Assuming this, I have to:
a) Show that for any we have:
b) Show that:
is an orthonormal basis in [tex]\mathbb{R}^3[\tex] and expand the vector in the basis .
c) Show that for any :
and for any :
As I said, this seems like a lot to go through and appreciate any help since I literally am stuck!