- Thread starter
- Moderator
- #1
- Jan 26, 2012
- 995
Thanks to those who participated in last week's POTW!! Here's this week's problem!
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Problem: Let $V$ be the vector space of continuous functions with basis $\{e^t,e^{-t}\}$. Let $L:V\rightarrow V$ be defined by $L(g(t)) = g^{\prime}(t)$ for $g(t)\in V$. Show that $L$ is diagonalizable.
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Remember to read the POTW submission guidelines to find out how to submit your answers!
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Problem: Let $V$ be the vector space of continuous functions with basis $\{e^t,e^{-t}\}$. Let $L:V\rightarrow V$ be defined by $L(g(t)) = g^{\prime}(t)$ for $g(t)\in V$. Show that $L$ is diagonalizable.
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Remember to read the POTW submission guidelines to find out how to submit your answers!