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- Jan 26, 2012

- 995

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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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