Question: Let A = (aij be an n à n matrix with elgenvalues λ1, ... ,λn. Show that aj + a- ) i#j j = 1,

Let A = (aij be an n × n matrix with elgenvalues λ1, ... ,λn. Show that
λaj + Σaι- λ) i#j j = 1, ..., n for Π

aj + a- ) i#j j = 1, ..., n for

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