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Questions about the properties of vector spaces and linear transformations, including linear systems in general.

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What are all the complex structures on $\mathbb{R}^2$ which live inside $\mathrm{SL}_2(\math...

By "complex structure" I am referring to 2x2 matrices which square to $-\mathrm{Id}_2$. I need to know those with integer entries and determinant equal to 1. Thank you
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