If [tex]X\in\textrm{End}(\mathbb{R}^n)[/tex] is some arbitrary nxn-matrix, is it true that(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

X^2 = 0\quad\implies\quad \textrm{Tr}(X)=0?

[/tex]

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# Matrix X^2=0 -> Tr(X)=0?

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