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How would I prove that an isometry is one to one?
General definition of isometry, A:
<Ax,Ay> = <x,y>
Where < , > is an inner product (scalar product, dot product, etc.)
How do I prove A has to be one to one for this to work?
General definition of isometry, A:
<Ax,Ay> = <x,y>
Where < , > is an inner product (scalar product, dot product, etc.)
How do I prove A has to be one to one for this to work?