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Let $V$ be a real n dimensional vector space & let $T:V→V$ be a linear transformation satisfying $T^2(v)=-v$ for all $v\in V$. Then how can we show that $n$ is even?

I am completely stuck on it. Can anybody help me please?

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    Yeah, it's called "the epsilon relation", but it has a better symbol than $\epsilon$. You can use `\in`.2012-12-03

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