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Question: if a and b are n x n matrices such...

Question details

If A and B are n x n matrices such that AB = BA, show that e^{A}e^{B}=e^{A+B} .

To prove this you can use the Binomial Formula which states that if AB = BA then (A + B)m- .

Note that if a series in a complete normed vector space converges ABSOLUTELY (like the matrix exponential), the terms in the series can be arbitrarily rearranged without changing the limit.

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