Let's say I have a vector x of positive real values and

$\displaystyle ||x||_2=1$

Then I have a matrix $\displaystyle X=x^Tx$

My question is: are all elements of $\displaystyle X$ outside of diagonal $\displaystyle X \leq 0.5$?

Some more information I have about matrix $\displaystyle X$: $\displaystyle X\succeq 0$ and $\displaystyle rank(X)=1$