Let x = (x1, ... , xn) T be an eigenvector of A belonging to . Show that if

Chapter 7, Problem 7

(choose chapter or problem)

Let x = (x1, ... , xn) T be an eigenvector of A belonging to . Show that if |xi|= x , then (a) n j=1 aijxj = xi (b) |aii| n j=1 j=i |aij| (Gerschgorins theorem)

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