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#### Barioth

##### Member

- Jan 17, 2013

- 52

I have this linear map \(\displaystyle A:R^3 \rightarrow R^3\)

I have that \(\displaystyle A(v)=v-2(v\dot ô)ô); v,ô\in R^3 ;||ô||=1\)

I know that \(\displaystyle A(A(v))=v\) this telling me that A is it's own inverse.

From there, how can I find the eigenvalue of A?

Thanks