Fifth digit is 9. Sixth digit is 2. Seventh digit is 4

2. Network flow: Let V be the vector space given on Page 4 of Slides for Nov 11. [15 marks] Fi = F.= F = (a) Show that V = span {Fi, F2, Fa}. (Hint: think of a flow as a solution to a homogeneous system of equations.) (b) Show that { Fi, F2, F3} is linearly independent. x = 1 + fifth digit of your York student ID (c) Let B = 1 + sixth digit of your York student ID y = 1 + seventh digit of your York student ID Let F be the flow in V such that the flow from s to u is a, the flow from u to t is 8 and the flow from t to s is y as shown below. i. Determine the flow on all the other directed edges in F. ii. Now that we have show the { Fi, F2, F3} is a basis of V, write F as a linear combination of F= F1, F2 and F3