2. Given a binary relation R = {(1, 1), (1,2), (1,3), (2, 1), (2,2), (2,3), (3, 1), (3,2), (3,3), (4,4)} on the set S = {1,2,3,4}. (a) (3 pts) Write the matrix A, that represents the relation R. (b) (2pts) Is the relation R symmetric? (c) (2 pts) Is the relation R transitive?
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The entry A[i][j] will be 1 if (i, j) is in R, and 0 otherwise. The matrix A will have dimensions 4x4 since S has 4 elements. The matrix A will be: A = | 1 1 1 0 | | 1 1 1 0 | | 1 1 1 1 | | 0 0 1 1 | b) To determine if the relation R is symmetric, we need to Show more…
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