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

A:

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

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

A: