Could someone explain the notation in this question to me so I can have a go at answering it.
Show that $SO_3(\mathbb{F_2}) = \{M \in SL_3(\mathbb{F_2})|M^{-1} = M^t\}$, where $M^t$ is the transpose of $M$.
Obviously $M$ is some matrix but I don't understand $SO_3(\mathbb{F_2})$, I think it has something to do with fields which I have next to zero experience with, although I presume very little experience with them is required for this question or we wouldn't have been given it.