1-farkas_lemma_ex.Rmd

## Exercises {-}

1.  You are given that the following system has no solution.
    \begin{eqnarray*}
    x_1 + x_2 + 2x_3& \geq & 1 \\
    -x_1 + x_2 + x_3 & \geq & 2 \\
    x_1-x_2 + x_3  & \geq & 1 \\
    -x_2 - 3x_3 & \geq & 0.
    \end{eqnarray*}
    Obtain a certificate of infeasibility for the system.