- #1
sarahr
- 13
- 0
i need to show that the unitary maps form a group under multiplication. I've never had algebra (im in linear algebra) so this is the first time I've seen this idea of 'groups'. i tried to look stuff up, so i think i see now that i need to show: 1) identity is an element 2) if x,y are elements of the group then the product xy is in the group 3) if x is an element, then its inverse is in the group.
I'm not really sure how to show these things since I'm new to this. All I really have to work with is that a unitary mapping M satisfies ll Mx - My ll = ll x - y ll for all x,y.
Can you help me get started? Thanks, Sarah :)
I'm not really sure how to show these things since I'm new to this. All I really have to work with is that a unitary mapping M satisfies ll Mx - My ll = ll x - y ll for all x,y.
Can you help me get started? Thanks, Sarah :)