Monthly Archives: February 2013

Exercise 2.5.15. Suppose that MIT, Harvard, Yale, and Princeton compete in some sport, with MIT beating Harvard 35-0, Yale and Harvard playing to a tie, and Princeton beating Yale 7-6. What score differences in the other three possible games (MIT-Yale, … Continue reading →

Exercise 2.5.14. Suppose we have the block matrices with the following properties: and have rows and have rows and have rows and have rows and are square matrices What is the product of the two matrices, and what are the … Continue reading →

Exercise 2.5.13. Given a graph with 4 nodes and 6 edges, what are the spanning trees for the graph (16 in all)? Answer: The graph has 4 nodes and 6 edges. Assume that the graph is as follows: edge 1 … Continue reading →

Exercise 2.5.12. Let be a 12 by 7 incidence matrix for a connected graph. What are the following values? the rank of the number of free variables in the solution for the system the number of free variables in the … Continue reading →