# q2_f11 - 18.06 Professor Edelman Quiz 2 November 4 2011...

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Unformatted text preview: 18.06 Professor Edelman Quiz 2 November 4, 2011 Your PRINTED name is: Grading 1 2 3 4 Please circle your recitation: 1 T 9 2-132 Kestutis Cesnavicius 2-089 2-1195 kestutis 2 T 10 2-132 Niels Moeller 2-588 3-4110 moller 3 T 10 2-146 Kestutis Cesnavicius 2-089 2-1195 kestutis 4 T 11 2-132 Niels Moeller 2-588 3-4110 moller 5 T 12 2-132 Yan Zhang 2-487 3-4083 yanzhang 6 T 1 2-132 Taedong Yun 2-342 3-7578 tedyun 1 (30 pts.) Consider the directed graph with four vertices and four edges pictured below: 1. (7 pts) The 4 × 4 incidence matrix of this directed graph is: 2. (7 pts) Find the determinant of the incidence matrix. (The easy way or the hard way) 2 3. (8 pts) Find a basis for the column space of the incidence matrix (Note this can be done with or without the answer in part 1.) 4. (8 pts) Consider whether or not it is possible to have an incidence matrix for a graph with n nodes and n edges that is invertible. If it is possible, draw the directed graph, if not possible, argue brie y why not....
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