Solution LC.M11 Robert Beezer
The coefficient of $\vect{c}$ is 1. The coefficients of $\vect{u}_1$, $\vect{u}_2$, $\vect{u}_3$ lie in the third, fourth and seventh entries of $\vect{w}$. Can you see why? (Hint: $F=\set{3,\,4,\,7,\,8}$, so the free variables are $x_3,\,x_4$ and $x_7$.)