
#1
Jul1107, 08:07 AM

P: 16

If x,y of R^n (as a normed vector space) are nonzero, the angle between x and y, denoted <(x,y), is defined as arccos x.y/(xy).
The linear transformation T :R^n>R^n is angle preserving if T is 11, and for x,y of R^n (x,y are non zero) we have <(Tx,Ty) = <(x,y). what are all angle preserving transformations T :R^N>R^N ? I guess that answering to this quastion is connected with eigenvalues of T.please help me!! 



#2
Jul1107, 09:51 AM

Sci Advisor
HW Helper
P: 4,301

Try looking up Hermitian operators somewhere.



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