Consider the relation R on set A = {1,2, 3, 4, 5, 6, 7, 8, 9} with the 0-1 matrix representation: [o 1 0 0 0 00 0 0] 0 0 1000 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 MR = 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 (a) Find the smallest poset that contains R. (b) Give a topological sort of the poset you found in (a).

Consider the relation R on set A = {1,2, 3, 4, 5, 6, 7, 8, 9} with the 0-1 matrix representation: [o 1 0 0 0 00 0 0] 0 0 1000 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 MR = 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 (a) Find the smallest poset that contains R. (b) Give a topological sort of the poset you found in (a).

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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