Let A={a.b.c.d.e) and S, T, U and V relations on A where S = {(a,g), (ab), (ba), (kd), (ce), (ed), (aa)} T = {(ab), (ba), (bec), (kd), lee), (de), (ab)} U= {(a,b), (aa), (b.c), (b.b), (ee), (ba), (sub), (suc), (dd), (ac), (aa} V= {(ab), (kc), (keb), (ee), ba), (sub), (dd), la), (aa} a) Which of the relations are reflexive? Justify your answer. b) Which of the relations are antisymmetric? Justify your answer. c) Find Un V. d) Find T-S.

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: Let U = { 0, 1, 2, 3, 4, 5, 6, 7, 8} A = { 1, 2, 3, 4, 5} B = { 3, 4, 5, 6, 7} C = {0, 1, 7, 8}…

A: Given that  U = {0, 1, 2, 3, 4, 5, 6, 7, 8} A = {1, 2, 3, 4, 5} B = {3, 4, 5, 6, 7} C = {0, 1, 7, 8}

Q: U = {a,b,c,d,e,f,g,h,i,o,u} A = {a,e,i,o,u} B = {a,c,h,e} C = {b,e,g,i} Find B’ Find (A U C)’…

A: The Universal set U is defined as U = {a,b,c,d,e,f,g,h,i,o,u} The set A is defined as A =…

Q: Let U​ = {w, x, y, z, 1, 2, 3, 4, 5​}, J​ =​{w, y, z, 3, 4, 5​} ​, K​ =​{w, x, 2, 3​}, and L​ =​{w,…

A: It is given that, L={w,x,z,1,4,5} and K={w,x,2,3}.

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: Let U​ =​{1, 2, 3, 4, a, b, c, d, e​}, E​ =​{1, 3, 4, c, d, e​},F​ =​{1, 2, b, c​}, and G​ =​{1, 2,…

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Q: Let U={10,20,30,40,50,60,70,80.90,100}, A={20,40,60}, B={40,80,90,100}, and C={30,60,70,90}. Find…

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Q: 1) Is {(1, 0,3), (1, 4, -2), (-8, 12, -4), (1, 37, 17)} a linearly independent list?

A: We check given set of vectors is linearly independent or not.

Q: This question refers to unions and intersections of relations. Since relations are subsets of…

A: The objective of this question is to find the Cartesian product of sets A and B, and the relations R…

Q: Let U=(3,4,8,9,10,11,15,18,19), X=(4,9,11,18), Y = {4,8,9,10,11), and Z=(3,4,8,18,19). List the…

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Q: How many relations are there on the set S = {2, 4, 6}?

A: We know that, the number of relations of a set containing n element is 2n^2. Given that S = {2,4,6}

Q: (а) Ri: {(а, a), (b, b), (с, с), (а, d), (а, b), (b, а), (ь, с), (с, b)};B Circle : Reflexive…

A: I have circle the relations

Q: 1. Consider the following relations on the set A = {1,2, 3, 4}. = {(1, 1), (1,3), (1, 4), (2, 2),…

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Q: Let A be the set A = {a, b, c, d} and R a relation on A defined as the following:   R = {(a, a), (a,…

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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: This question refers to unions and intersections of relations. Since relations are subsets a…

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Q: Let U=span(ū, ,ū,,ū and Û=span {u, ,u,, where ü,=(1,0,0,0), ū,=(0,1,1,0), ủ,=(0,1,1,1) and…

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Q: (a) Let A = {a} and B = {1}. List all relations from A to B. (*Hint*) {a} and B = {1,2}. List all…

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Q: Let U={1,2,3,...,10}, A={1,3,5,7}, B={1,2,3,4}, and C={3,4,6,7,9}. Find  a. A ∩ B b. A ∩ (B' U…

A: Introduction:    The set operations are performed on two or more sets to obtain a combination of…

Q: Suppose A = {1,2,3,4). Let S and R be relations on A defined as follows: S = {(1,1), (1,3), (2, 3),…

A: Definition:  Suppose A,B and C are sets and R is a relation from A to B and S is a relation from B…