Monthly Archives: September 2012

Exercise 2.5.3. Given the incidence matrix from exercise 2.5.1 and any vector in the row space of show that . Prove the same result based on the linear system . What is the implication if , , and are currents … Continue reading →

Exercise 2.5.2. Given the incidence matrix from exercise 2.5.1 and any vector in the column space of show that . Prove the same result based on the rows of . What is the implication for the potential differences around a … Continue reading →

Exercise 2.5.1. Describe the incidence matrix for the following graph: The graph has three nodes and three edges, with edge 1 going from node 2 to node 1, edge 2 going from node 3 to node 2, and edge 3 … Continue reading →

Exercise 2.4.21. Suppose that for two matrices and the associated subspaces (column space, row space, null space, and left nullspace) are the same. Does this imply that ? Answer: The answer is no, as shown by the following counterexample: We … Continue reading →