a) Let R and S be relations on the set A = {1, 2, 3} represented by the matrices [1 0 11 [1 01 0 0 1 and Ms MR 001 LO 1 0] 0 i. List the elements of the set that represents the relation R °S. ii. Show that S is not transitive and find its transitive closure. = = 0

Q: Consider the matrix representing a relation R on the set {x, y, z}. 0 1 0 1 0 1 1 0 1 List…

A: To list the pairs in the relation.

Q: set. Consider the simple function s = 2XA-3XB, where A = [-1, 1] and B = (0, 2). (i) Find the…

A: This representation efficiently summarizes s by combining the contributions of x over the intervals…

Q: Let Rj and R2 be relations on a set A represented by the matrices To 1 o' 0 1 1 Го 1 0 and MR2 1 0 0…

A: Given: MR1=010111100 and MR2=010011111

Q: [6] 7. Let A = {1, 2, 3, 4, 5, 6}. Let R and S be the relation defined on A as follows: R = {(a, b)…

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Q: Let A= {1, 2, 3, 4} and let the relation R on A be defined by the matrix [1110 0101 MR then which of…

A: Given that A=1,2,3,4. The adjacency matrix of the vertices in A is given by the relation R as…

Q: Are the relations represented by the following matrices equivalence relations? 1 0 1 0 0 10 1 10 10…

A: Introduction: Every relation has a matrix representation. When the diagonal entries of the matrix is…

Q: 10 1 Let R be the relation represented by the matrix MR and S be the relation represented by the…

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Q: Let R1 and R2 be the relations represented in the matrix. [0 1 0 1] [1 0 1 1] 0010 0010 R2 1 100 1 1…

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Q: A relation R is given in the matrix below. Rows of the matrix are numbered 1 through 4 from top to…

A: Let iRj (i,j=1,2,3,4) be the elements of relation R . Let aij be the ( i-row , j column)  entries of…

Q: S = {a, b, c, d, e} R is a relation on S. The digraph representation of R is given below: 1. Use the…

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Q: d) R1 °RI. e) R1 + R2.

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Q: VII.3. Let Rbe the relation on {1, 2, 3, 4} given by r Ry if, and only if, æ – y = 0. Represent Rin…

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Q: MR₁ Let R₁ and R₂ be relations on a set A represented by the matrices ΓΟ 1 07 [1 1 01 = 0 1 1 and…

A: Given the relations and on a set represented by the matrices and .We have to find the matrix…

Q: The set S = {(1, 1, 0), (-2, 4, 1), (3, 2, -5), (-1, 3, -2)} is: Select one: a. Dependent. O b.…

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Q: Find the Answers for the following Questions: A = {2, 3, 4, 5, 7}, B = {4, 5, 9 16, 25} Find the…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Let R1 and R2 be the relations represented in the matrix. 1001 11 1 1 1 1 1 11 0 1 0 0 0 1 1 0 1 0…

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Q: Let A = {1, 2, 3, 4} and the relation R on A is defined as xRy x<y. a. Find the relation R in Roster…

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Q: A, BE RXn Let n EN. Consider the following binary relation for A~B 3Qe R"*" : Q. A A = QB orthogonal…

A: We will be solving part (b) as mentioned. Let n∈ℕ. Consider the given binary relation for A,B∈ℝn×n…

Q: a. If R is a relation defined from the Set A = { 6,12,25,36} to the set B = {3,4,5,6} as follows: R…

A: We are given that, R is a relation defined from the set A = {6, 12, 25, 36} to the set B = {3, 4, 5,…

Q: 9. Given B = { (3,0,-3), (3,-2,1), (-1, -6,1)} and B' = {(1,1,–1),(0,1,2),(-1,1,0)}, find the…

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Q: 1. Let R₁ and R₂ be relations on a set A represented by the matrices. 1 0 1 MR₁ = -GD-6D = 1 1 1 and…

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: Let R1 and R2 be relations on a set A represented by the matrices MR₁ = O MR₂ 0 1 0 Find the…

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Q: (b)Let A = {1,2,3}, B = {a, b, c}, and C = {x,y, z}. Consider the following %3D relations R and S…

A: Given R=1,b, 2,a, 2,cS=a,y, b,x, c,y, c,z

Q: esentation for each relation. resentation for each relation. berties of each relation.

A: Given:-  S={0,1,2,3,4,5,6} 1] R1=(a,b):a, b∈S, a&gt;b So in…

Q: Determine whether the set [p., pa, p3] is linearly Independent in Pa, where pi= 3+x+3x²+4x3 Pa = 4+…

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Q: Name the collection of ordered pairs in the relations R on {1,2,3,4} corresponding to the matrix (1…

A: Please find the detailed solution in the next step

Q: 19. Let R= 1010 1100 0011 0100 be the adjacency matrix for a relation r on the set A = {1,2,3,4}.…

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Q: a) RI U R2. b) RIO R2. c) R2 -R1.

A: As per the company rules, we are supposed to solve the first three sub-parts of a multi-part…

Q: Let →a=⟨−4,1,−2⟩a→=⟨-4,1,-2⟩ and →b=⟨−2,−3,4⟩b→=⟨-2,-3,4⟩. Find the projection of →bb→ onto →aa→.…

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Q: 7 and bɔ 3 4 Let S be the parallelogram determined by the vectors b, and let A= Compute the area of…

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Q: Let A= {1,2,3,4} and let R be the relation with matrix [0 0 1 0 0 0 0 1 1 0 1 0 0 1 0 0 Test…

A: Step 1:Step 2:MR    The rows and columns of the matrix represent the elements of set A, and the…