An n n matrix A is called nilpotent if Am 0 for some m l Show that 0 is the only eigenvalue (even complex) of A, if A is nilpotent ...

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 ...

An n n matrix A is called nilpotent if Am = 0 for some m

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An n × n matrix A is called nilpotent if Am = 0 for some m ≥ l.
Show that λ = 0 is the only eigenvalue (even complex) of A, if A is nilpotent.

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Linear Algebra With Applications

ISBN: 9780070985100

7th Edition

Authors: W. Keith Nicholson

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Question Posted: Jun 21, 2016 06:33 AM

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An n n matrix A is called nilpotent if Am = 0 for some m

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Linear Algebra With Applications

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