Intuitive geometric explanation: existence of eigenvalue in odd dimension real vector space. – math.stackexchange.com

Intuitive geometric explanation: existence of eigenvalue in odd dimension real vector space. – math.stackexchange.com

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I'm looking for an intuitive geometric explanation for the fact that given an odd dimensional real vector space $W$ and an endomorphism $T:W \rightarrow W$, there exists a real eigenvalue of $T$. I'm ...

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