Discuss the eigenvalues and eigenvectors of $A=I+2vv^T$.. I need some help with this question: Let $v\in\mathbb R^n$. Discuss the eigenvalues and eigenvectors of $$A=I+2vv^T$$. Can anyone help me?

if $A=A^T$, then


*

*$\lambda(2A)=2\lambda(A)$ 

*$\lambda(I+A)=1+\lambda(A)$

*if also $A=vv^T$, $\lambda(A)=\{
||v||^2,0,\ldots,0\}$
