Exercises
[1MQ] Let
\[ A= \begin{pmatrix} 1 & 0 \\ 0 & 0 \end{pmatrix}\quad ,\quad B = \begin{pmatrix} 0 & 1 \\ 0 & 0 \end{pmatrix}\quad :\quad \]compute
\[ \exp (A) \exp (B)\quad ,\quad \exp (B) \exp (A)\quad ,\quad \exp (A+B)\quad ; \]You will get that they are all different from each other.
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