Question
Hello, how can I proof the next theorem?
I have a linear transformation T(X) that can be express as T(X)=AX
and A is an orthogonal matrix, then ||T (X)||=||X|| , I was doing this:
||T (X)||=sqrt(<AX,AX>)
But I don't know what to do with the orthogonal matrix..
Please help
I have a linear transformation T(X) that can be express as T(X)=AX
and A is an orthogonal matrix, then ||T (X)||=||X|| , I was doing this:
||T (X)||=sqrt(<AX,AX>)
But I don't know what to do with the orthogonal matrix..
Please help