Equation with Matrix exponential

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i am working on a paper regarding Mortality Modeling. I have the following equation and I can't figure out why the following equation holds. I think the background knowledge is not important, it's normal matrix multiplication and $a$ and $b$ are real numbers. If someone can give me a hint that would be awesome!

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Thanks in advance.

Edit: I solved the Matrix Exponential using Wolfram Alpha: enter image description here

Normal multiplication leads to result. Thanks for the answers in the comment section!