Solved: Let be an eigenvalue of an n n matrix A. Show that for some index j, (column
Chapter 7, Problem 9(choose chapter or problem)
Let be an eigenvalue of an n n matrix A. Show that for some index j, (column version of | ajj| n i=1 i=j |aij| Gerschgorins (theorem)[Hint: is an eigenvalue of X1(A + E)X. ApplyGerschgorins theorem from Exercise 7.](b) min1jn| j| cond(X)E
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