If A is an n x n matrix, then A is called nilpotent if Ak = O
Question:
(a) Prove that every nilpotent matrix is singular.
(b) Verify that
is nilpotent.
(c) If A is nilpotent, prove that In - A is nonsingular.
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Related Book For
Elementary Linear Algebra with Applications
ISBN: 978-0132296540
9th edition
Authors: Bernard Kolman, David Hill
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