Question
Prove that $A$ commutes with its exponential: $A e^{t A}=e^{t A} A$.
Step 1
For a square matrix \( A \), the exponential \( e^{tA} \) is defined by the power series: \[ e^{tA} = \sum_{n=0}^{\infty} \frac{(tA)^n}{n!} \] Show more…
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