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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?
@silent
do you have any idea?
$ab^t$ have rank 1.
$ab^t$ have null space dimension=$n-1$
So possible eigen values are $Trace(ab^t),0,0,...,0$ right?
 

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