題組內容
3. Define $e^A = \sum_{k=0}^{\infty} \frac{A^k}{k!}$.
(b) (10 pts) Find \( A, B \in \mathsf{M}_{2 \times 2}(\mathbb{R}) \) such that \( e^A e^B \neq e^{A + B} \).
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3. Define $e^A = \sum_{k=0}^{\infty} \frac{A^k}{k!}$.
(b) (10 pts) Find \( A, B \in \mathsf{M}_{2 \times 2}(\mathbb{R}) \) such that \( e^A e^B \neq e^{A + B} \).