Consider the following five relations on the set A = { 1, 2, 3, 4 } : R1 = { (1, 1), (1, 2), (2, 3), (1, 3), (4, 4) }
R2 = { (1, 1)(1, 2), (2, 1), (2, 2), (3, 3), (4, 4) }
R3 = { (1, 3), (2, 1) }
R4 = ∅ , the empty relation
R5 = A × A, the universal relation

Fill in the following table cells with “yes” or “no” if the relation R1-R5 has the said property.