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.
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A First Course in Differential Equations with Modeling Applications (MindTap Course List)
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