Question: Let A = {1,2,3,4}, and let R be a relation on A with matrix M R defined as: 1 2 3 4 | 1 1

Let A = {1,2,3,4}, and let R be a relation on A with matrix M R defined as:

1 2 3 4 | 1 1 0 0 | | 1 1 1 0 | | 0 0 0 1 | | 1 0 0 0 |

a. Compute the outdegree for each node. (There should be one answer for each of the four nodes.)

b. List two cycles of length 4 that start at node 2.

c. Perform the first two iterations (nodes 1 and 2) of Warshall's algorithm on matrix with matrix M R defined as: 1 2 3 4 | 1 M R . Show the work matrix 1 0 0 | | 1 1 1 0 | | 0 W 2 after these two iterations.

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