1. Consider the following relations on the set A = {1,2, 3, 4}. = {(1, 1), (1,3), (1, 4), (2, 2), (4, 3)} {(1, 1), (3, 2), (2, 3), (2, 2), (3, 3), (4, 4), } T = {(1, 1), (1, 2), (2,3), (2, 2)} R S empty relation, and A x A = Universal Relation Determine whether each of the above relations on A is: (a) Reflexive (b) Transitive (c) Symmetric (d) Antisymmetric

Q: R and S are relations on set A = {1,2,3,4}, defined as R = {(1,2},(1,3),(2,3),(2,4),(3,1)}; S =…

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Q: R = {(1,1), (1,2), (1,3), (2,3), (7,1), (7,2), (7,3), (4,5), (4,6), (5,6), (5,5)}

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Q: 9.5. For the relation R= {(1,1),(1,2) , (1, 3) , (2, 2) , (2, 3) , (3, 3)} defined on the set {1,…

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Q: 3. Let m and n be positive integers such that m divides n. (a) Prove that the map y: Z/nZ Z/mZ…

A: Given m and n are two positive integers such that m divides n. To prove the map φ:ℤ/nℤ→ℤ/mℤ such…

Q: 2. Let A = {1,2, 3}, B = {4,5, 6}, R = {(1,4), (1, 5), (2,5), (3, 6), and || %3D S = {(4,5), (4, 6),…

A: Given set in the question are  A=1,2,3B=4,5,6R=(1,4),(1,5),(2,5),(3,6)S=(4,5),(4,6),(5,4),(6,6)Then…

Q: Let R1 and R2 be the relations on {1,2,3,4} given by R1 = {(1,1), (1,2), (3,4), (4,2)} R2 =…

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Q: Identify the missing ordered pairs from the given list. The list of all ordered pairs in the given…

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Q: 9) If the vector w = (1,-4, 9, 18) can be (1,-1,3, 5) and v₂ = (2, 1, 0, -3) th are: 0000 O a=3,…

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Q: For each of the relations on A = {0, 1, 2, 3} below R = {(0, 0),(0, 1),(0, 3),(1, 0),(1, 1),(2,…

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Q: Suppose f : B C where B = {a, b, c}, C = {2, 8, 10}, and f is defined by f = {(a, 8), (b, 10), (c,…

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Q: Suppose p and o are relations defined on S = {1, 2, 3, 4} by the sets p = {(2, 2), (3, 2), (3, 4),…

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Q: Let X = {a, b, c, d, e,f} and S be the relation on X defined by S = || {(а, а), (а, b), (а, с), (а,…

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Q: There are 6 towns {A, B, C, D, E, F} with the following one way street relation {(A, B), (A, C), (B,…

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Q: Consider following five sets: 1. { , } { } II. { } II. IV. { , , } V. { , } Find all linearly…

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Q: If R = {(1, 2), (1, 4), (2, 3), (3, 1), (4, 2)}, what is the reflexive closure of R? O {(1, 2), (2,…

A: The Second option is correct  {(1,1),(1,2),(1,4),(2,2),(2,3),(3,1),(3,3),(4,2),(4,4)}