MATH307 December 2005
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Question 04 (a)
Show that where and .
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Remember Taylor series:
Note that etc.
A similar computation gives us that
We now use the hint. Let
we have via the hint,
By the rules of matrix exponentiation, we have
As , we have
where e = e1 is the Euler number, and d is some other finite value. Thus,
Comparing with M = eAeB we would need that
which is impossible. Hence, .
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