───✱*.。:。✱*.:。✧*.。✰*.:。✧*.。:。*.。✱ ───

Module 13

    • a.(0,0),(1,1),(2,2),(3,3)
    • b.(4,0),(3,1),(2,2),(1,3)
    • c.(1,0),(2,1),(2,0),(3,2),(3,1),(3,0),(4,3),(4,2),(4,1),(4,0)
    • d.(1,1),(2,1),(2,2),(3,1),(3,3),(4,1),(4,2),(4,4)
    • e.(0,1),(1,0),(1,2),(1,3),(2,1),(2,3),(3,1),(3,2),(4,1),(4,3)
    • f.(1,2),(2,1),(2,2)
    • a.𝑅1
    • b.𝑅2
    • c.𝑅3
    • d.𝑅2
    • e.𝑅3
    • f.𝑅2
    • g.𝑅2
    • h.𝑅2
    • a.[100100100]
    • b.[010110001]
    • c.[100110111]
    • d.[001000100]
    • a.(1,1),(1,3),(2,2),(3,1),(3,3)
    • b.(1,2),(2,2),(3,2)
    • c.(1,1),(1,2),(1,3),(2,1),(2,3),(3,1),(3,2),(3,3)
    1. (𝑎,𝑏),(𝑎,𝑐),(𝑏,𝑐),(𝑐,𝑏)
    1. (𝑎,𝑐),(𝑏,𝑎),(𝑐,𝑑),(𝑑,𝑏)
    1. (𝑎,𝑎),(𝑎,𝑏),(𝑎,𝑐),(𝑏,𝑏),(𝑏,𝑎),(𝑏,𝑐),(𝑐,𝑎),(𝑐,𝑏)

Module 14

    • a. None of the above
    • b. Reflexive, Symmetric, and Transitive
    • c. Symmetric
    • d. Antisymmetric
    • e. All of the above
    • f. None of the above
    • a. Reflexive, Antisymmetric, Transitive
    • b. Symmetric
    • c. Reflexive, Symmetric
    • d. Reflexive, Symmetric
    1. 𝑖,𝑀𝑅[𝑖][𝑖]=0
    • a. Reflexive, Symmetric, Transitive
    • b. Antisymmetric
    • c. Symmetric
      1. Irreflexive
      1. Reflexive, Transitive
      1. Irreflexive, Transitive
    • a. Yes
    • b. No — lacking reflexivity and transitivity
    • c. Yes
    • d. No — lacking transitivity
    • e. No — lacking reflexivity and transitivity
    • a. Yes
    • b. No — lacking transitivity
    • c. No — lacking reflexivity, symmetry, transitivity
    • d. Yes
    • e. No — lacking reflexivity and transitivity
    1. Yes
    1. No — lacking transitivity

───✱*.。:。✱*.:。✧*.。✰*.:。✧*.。:。*.。✱ ───