9:57 AM
Consider two non-zero $p-$dimensional column vectors $ a$ and $b, p ≥ 2$. How many non-zero distinct eigenvalues does the $p×p$ matrix $ab^t + ba^t $have?
$ab^t$ have null space dimension=$n-1$
So possible eigen values are $Trace(ab^t),0,0,...,0$ right?