An n n matrix A is called nilpotent if Am = 0 for some m
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Show that λ = 0 is the only eigenvalue (even complex) of A, if A is nilpotent.
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If is an eigenvalue of A let Ax x for some x 0 Then A 2 x Ax 2 x A 3 X 2 AX 3 X We claim ...View the full answer
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