I am considering the space of $mod~2$ space, e.g., 1+1=0.
If $X=\left\{ (0,0), (1,0), (0,1), (1,1) \right\}$, how can I find all the linear transformations from $X$ to $X$?
Do I have to check all $4^4=256$ functions, one by one?
I am considering the space of $mod~2$ space, e.g., 1+1=0.
If $X=\left\{ (0,0), (1,0), (0,1), (1,1) \right\}$, how can I find all the linear transformations from $X$ to $X$?
Do I have to check all $4^4=256$ functions, one by one?
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