Suppose A = {a1, . . . , am} and B = {b1, . . . , bn}. Let R and T be relations from A to B with matrices M and N respectively. How is the matrix of R ∪ T obtained from M and N. How about the matrix of R ∩ T. Suppose C is a non-empty set and that T is a relation from B to C. We define the composite relation R ◦ T from A to C by declaring aT c if there is b ∈ B such that aRb and bRc

Q: d. Define a relation R on {1, 2, 3, 4} by R = {(a, b) / a +b is even} and i. Write R as a list of…

A: According to the given information, Let R be a relation on {1,2,3,4} defined as:

Q: 9. Represent the following relations on A = {1, 2, 3, 4, 5, 6} using a matrix and a digraph. (a) R =…

A: Given that ,  A = { 1,2,3,4,5,6}

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)…

A:

Q: Suppose that A is the set {a, ß, y, d, ε}. A.) Construct a relation r on A that is a partial…

A: A relation r is said to be partial order relation if it is  (i) Reflexive  (ii) Anti-symmetric (iii)…

Q: Suppose A = {a1, . . . , am} and B = {b1, . . . , bn}. How many relations are there from A to B?…

A:

Q: 1. for  the Relation R ‘is a factor of’, on set A{1,2,3,6}. Write: A) the ordered pairs B) a…

A: Given the set A{1,2,3,6}

Q: Let R be the relation represented by the matrix M₂ [011] Γοιι 110 101 Identify the matrix that…

A:

Q: a) A computer program consists of five modules M1, M2, M3, M4, and M5. A relation R on the set of…

A: Given- A computer program consists of five modules M1, M2, M3, M4, and M5. A relation R on the set…

Q: A. Let R be a relation on set A. A={x :xeJ and 0 sx s 12), and R={(a,b) : la - b| is multiple of 4}.…

A: Since not particular question asked, as per guidelines solution to only first question(i.e A) is…

Q: b) Check whether the relation R on the set S = {1, 2, 3} with the the matrix 1 1 1 0 1 1 1 1 1 is an…

A:

Q: Let P={{a,b,d},{c,f},{e,g}} be a partition. Write the relation matrix for the implied equivalence…

A: P={{a,b,d},{c,f},{e,g}} . The  equivalence relation is as follows:…

Q: Q--4: a) Let R be the relation on the set A = {1, 2, 3, 4} defined by aRb if and only if 2ab + 1.…

A:

Q: Suppose that A = {1, 2, 3} and B = {4, 6}. Let R be the relation from A to B containing (a, b) if a…

A:

Q: Let A = {2, 4, 5}, and let R be the relation on A consisting of pairs of the form (a, b), where ab…

A: Pairs in R is: {(4,4),(4,5),(5,4),(5,5)} Only these have ab>12

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…

Q: x f(x) -3 -2 0 -1 1 -12 0 1 54 2 WJ 0 18 0

A: x -3 -2 -1 0 1 2 3 fx 54 0 -12 0 18 24 0

Q: Show that matrix equivalence is an equivalence relation on Mmxn (F).

A:

Q: Let A = {1, 2, 3, 4}. Define a relation R on A: R = {(1, 2), (1, 3), (2, 2), (2, 3), (3, 4), (4, 3)}…

A:

Q: r1 1 1 0- 1 0 0 c) The matrix M represents the relations R defined. = 1 1 11 the set A = {1, 2, 3,…

A:

Q: 1. If two Hermitian operators A and B commute, show that they can be simultaneously diagonalized.

A: Given :-  If two Hermitian operators A and B commute , then they can be simultaneously diagonalized.

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

A:

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

A: (a) It is given that, R be a relation on A = {1, 2, 3, 4} such that aRb ⇔ a-b≤1 We have to find the…

Q: Identify the matrix that corresponds to the relation ((2, 4), (3, 1), (3, 2), (3, 4)).

A:

Q: Let 4= {1, 2, 3, 4, 5, 6} and the relation R on A is defined by R = {(a,b)|a + b is prime; a, b E A}…

A:

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…

A:

Q: 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),…

A:

Q: 1. Given A = {1, 2, 3, 4}, B = {a, ß,7} and R= {(2,B), (2, 7), (4, B), (1, a), (1, 7)} (a) Determine…

A: Here given that                        A={1, 2, 3, 4}                        B={α, β, γ}      And…

Q: A.  Write the relation on {a, b, c, d} in matrix form. 1.  {(a, a), (a, d), (b, c), (c, d), (d, a),…

A: The matrix form of a relation is given by M=Mij , where Mij=1    if ai,bj∈R0    if ai,bj∉R Part(1)…

Q: a ) Let R be the relation on the set A={1,2,3,4} defined by aRb if and only if 2a>b+1. Find the…

A: let A={1,2,3,4}   aRb iff 2a>b+1   first we will find R…

Q: Let P=[[a.b,d).[c.f).le.g]] be a partition. Write the relation matrix for the implied equivalence…

A:

Q: 10 1 0 1 0 1 Consider the following zero-one matrix representing a relation on the ordered set {a,…

A: