I have a positive semi definite symmetric matrix $X$, $(n\times n)$.
let $X=vv^T$ s.t $\|v\|=1$.
I came to a point where I am stuck to show which is:
$v^TYv=\langle X,Y\rangle$ (How to show this equality?)- inner product is of symmetric matrices
and $Y$ is a symmetric matrix $(n\times n)$