6.2.26 BINARY RELATIONS

Condition: for set on the set \ (a = \ {1,2,3,4,5 \} \) binary relationships \ (\ rho \) and \ (\ tau \): A) Write matrices and build graphics: b) matrix method to find the composition \ (\ rho \ circ \ tau \), build a ratio of relationships: build a ratio of relations. c) investigate the properties of relations \ (\ rho, \ tau \) and \ (\ rho \ circ \ tau \) (reflexivity, irreflexiveness, symmetry, anti -symmetry, transitivity). \ [\ rho = \ {(x, y): | x-y | \ GEQ 2 \}, \ Quad \ TAU = \ {(X, Y): X (6-Y) \ LeQ 8, X \ NeQ Y \}. \]