B2. (a) [2 Marks ] Show that the relation R in the set {1,2,3} given by R = { (1,1),(2,2),(3,2),(1,2),(1,2), (2,3)) is symmetric but neither reflexive nor transitive. (b) [1 Mark] Find the matrix representing the relations SoR where the matrices representing R and S are 101 0 10 and Ms 0 00 MR 110 001 101

Q: 3. 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:…

A: NOTE- AS WE ARE ALLOWED TO ANSWER THREE SUBPARTS IN EACH SESSION SO, I HAVE ANSWERED FIRST THREE FOR…

Q: Q4. Let A = { 1, 2, 3, 4, 5, 6} and relation R on A defined by R = { (x,y)|(x+y) is a divisor of 24…

A: A=1,2,3,4,5,6 and relation R on A defined by  R=x,y| x+y is a divisor of 24 So,…

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Q: Which of the following matrices shows that (3, 2) belongs to the relation it represents? (Select all…

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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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A: Consider the given relation R:

Q: If the transitive closure R* of the zero-one matrix MR is Mg = MR V M v M v MI Find the zero-one…

A: Given zero one matrix MR is MR=0100001001001000 Also, Transitive closure R* of the zero one matrix…

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A: For a matrix     For a matrix B;

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Q: Let R1 and R2 be relations on a set A represented by the matrices below: MR1 0 1 0 1 1 1 1 0 0 Mr2 =…

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Q: Let R,and R2 be relations on a set A represented by the matrices Mg, =10 0 0 1 ol and MR2 1 0 Find…

A: In this question, we have to find the product and composition of the relation matrix. To find the…

Q: Let A = {1,2,3} ,B = {a,b, c} and c = {x,y,z} Let R1 = {(1, a), (2, c), (3,a), (3, c)} and R2 = {(b,…

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

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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: 1. Let R₁ and R₂ be relations on a set A represented by the matrices. 0 1 0 1 0 MR, 1 1 1 and MR₂ =…

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Q: and B = {Thaddeus, Peter} be the set of male members. Let R be the relation between the sets A and B…

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Q: How can the matrix for R-1, the inverse of the relation R, be found from the matrix representing R,…

A: ANSWER :

Q: 1. By using the attached graph of relation R1.  a) Express R1 as a set of ordered pairs. b) create a…

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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: 3. 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:…

A: The set A=6,12,25,36 and B=3,4,5,6. And a relation defined from A to B is as follows:…

Q: 2.18 Invertible linear-fractional functions. Let f: R" → R" be the linear-fractional function f(x) =…

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Q: True or false with full explanation The relation ‘~' on Z given by (a,b)~(c,d)⟺ (a-b)| (c-d) is an…

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Q: 13. Find all 2 x 2 matrices A = (" ta² = (C :) such that %3D

A: We need to find the set of all 2×2 matrices such that A2=O, where O is the zero matrix of order 2.

Q: Let A = {a, b, c, d} and let R and S be the relations on A whose matrices are (1 0 1 0` 0 1 0 1 (1 0…

A: let A=a,b,c,d and let R and S be the relations on A whose matrices are  MR=1010010110100101 and…

Q: Let R1 and R2 be relations on a set A represented by the matrices below: MR1 = 0 1 0 1 1 1 1 0 0 Mr2…

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Q: 25. (a) Find all 2 × 2 matrices whose null space is the line 3x – 5y = 0. (b) Describe the null…

A: Note: As you have posted multiple questions. We will only be solving the first question for you. If…

Q: Let R1 and R2 be the relations represented in the matrix. 111 1 100 1 0 1 1 1 11 0 0 0 1 1 0 1 0 R1…

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Q: Let 3 -1 3 A = 0 2 -3 0 0 4 Find if possible a non-singular matrix P such that P-'AP is diagonal.…

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Q: Q3) Consider the relation R = {(1,3), (1,4), (3, 2), (3, 3), (3, 4)} on A = {1,2, 3, 4} a) Find the…

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Q: 2 26. a. Find the scaling matrix A that transforms into -1 8 -4

A: (a) Let the scaling matrix A be a00a Consider a00a2-1=8-4(a)(2)+(0)(-1)(0)(2)+(a)(-1)=8-42a-a=8-4 On…

Q: Let A = {a, b, c, d} and let R and S be the relations on A whose matrices are (1 0 1 0) 1 0 0 1 1 0…

A: The set is A = {a, b, c, d}. The matrices representing the relations R and S, respectively, are as…

Q: () The operation of subtraction A, BHA-B of matrices A, Bhaving the same size is defined by as…

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Q: [o 1 0 1 10 1 1 0 10 0 11 0 0 13. Let A = {1, 2, 3, 4} and matrix of relation R is Mg= Determine if…

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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: "Since you have posted a question with multiple subparts, we will solve the first three subparts for…

Q: 5. Show that T is a linear transformation by finding a matrix that implements the mapping. Note that…

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Q: Given that A = {1,2,3,4} and B = {x, y, z} Let R = {(1,x),(2,z),(3,x),(3,y),(3,z)} a. Determine the…

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Q: 3. 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:…

A: Note: Since you have posted a question with multiple sub-parts. We will solve the first three parts…

Q: iven the set of all nxn matrices. define X~Y iff there xists an invertible matrix FAF^-1 =B. Check…

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Q: Let R be a relation on A = {1,2,3,4} such that aRb means |a – b| < 1. Find the matrix…

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Q: List the ordered pairs in the relations on {1,2,3} corresponding to the matrix, [1 0 = 10 1 1 11 1.

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Q: Matrix A is equivalent to matrix B, written A B, if there exist nonsingular matrices P and Q such…

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Q: Let A and B be square matrices of order 2 such thatA=-7 and B=4.What is (ABY"| %3D %3D

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Q: Q) Let R be a relation on A = {1,2,3,4} such that aRb means |a - b| < 1. Find the matrix…

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Q: matrix of the transitive closure

A: We have to find find out the matrix of the transitive closure of R. It is given that…