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I have an example which seems very circular.

enter image description here

Doesn't this just follow from the power series definition of the exponential matrix? I'm confused about how to actually show this as it just seems so basic.

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  • $\begingroup$ You simply have to note that you take a power of the matrix by taking powers of the blocks, which is just matrix multiplication. $\endgroup$
    – saulspatz
    Sep 22, 2020 at 21:08
  • $\begingroup$ I guess that what confuses me. The answer is in the question. I don't understand how to prove that, it feels so circular. $\endgroup$ Sep 22, 2020 at 22:43
  • $\begingroup$ Do I even need to do a proper proof? $\endgroup$ Sep 22, 2020 at 22:44

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