Orthonormal Basis - Definition & Examples

[The black vegetable]

TL;DR

Trying to find your Orthonormal basis

Is this correct? If not any hints on how to find

Many thanks

 

[Orodruin]

It seems to me you are missing some sign in your definition of M. Otherwise notationally dubious but in essence fine.

Also, wouldn’t something like ”the black adder” sound better?

 

[Tardigrade]

thanks Orodruin very helpful, But I think I have a better idea, I think I'm missing a sign in my definition of M :)