Math Problem Solver

For each of these relations on the set {1, 2, 3, 4}, decide whether it is reflexive, symmetric, and transitive.

Show your working using roster form and matrix format both.

i. R1 = {(2,2), (2, 3), (2 4),(3, 2), (3, 3), (3, 4)}

ii. R2 = {(1,1), (1,2), (2, 1), (2, 2), (3, 3), (4, 4)}

iii. R3 = {(2, 4), (4, 2)}