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Suppose we have $$ \begin{equation} P=\begin{cases} x+y+z=2\\ x,y,z \geq 0 \end{cases} \end{equation} $$ For the resulting matrix $[\ 1 \ 1 \ 1 \ ]$ I know $n=3, m=1$.
If there is a BFS, $C = (0, 0 ,2)$. How do I find the basic directions at C? I know there will be 2 basic directions, for $x$ and $y$ since those are non-basic varibles for C.

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