A matrix A is said to be nilpotent if there exists some positive integer m such that
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A matrix A is said to be nilpotent if there exists some positive integer m such that Am = 0. Verify that
is nilpotent. Discuss why it is relatively easy to compute eAt when A is nilpotent. Compute eAt and then use (1) to solve the system X' = AX.
Transcribed Image Text:
-1 1 -1 0 -1 1 A = 1
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Verify that A is nilpotent Therefore A m A 3 0 ie m3 15 Nilpotent Now ...View the full answer
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Related Book For
A First Course in Differential Equations with Modeling Applications
ISBN: 978-1111827052
10th edition
Authors: Dennis G. Zill
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