Eigenvector of a matrix in $S{O}_3(\mathbb{R})$

Amol Sasane, Victor Ufnarovski

Let $A=[a_{ij}]\in O_3(\mathbb{R})$. We give several different proofs of the fact that the vector $$ V:=\left[\begin{array}{ccc} \displaystyle \frac{1}{a_{23}+a_{32}} & \displaysty…