- #1
Barioth
- 49
- 0
Hi everyone,
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
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