Suppose A = PDP-1, where D is defined as in (9). Use (3)
Chapter 8, Problem 21E(choose chapter or problem)
Suppose \(\mathbf{A}=\mathbf{P D P}^{-1}\), where D is defined as in (9). Use (3) to show that \(e^{\mathbf{A} t}=\mathbf{P} e^{\mathbf{D} t} \mathbf{P}^{-1}\).
Text Transcription:
mathbf A = mathbf P D P^-1
e^mathbf A t = mathbf P e^mathbf D t mathbf P^-1
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