(i) Let A = {-1, 1,2,3,4}, X = {(-1, 1), (1, 1), (2, 2), (3, 3), (4, 4), (1, −1), (1, 4), (4, 1)}. Let ~ be the relation on A defined by X, that is i~ j if and only if (i, j) € X. Is~ transitive? Give a reason for your answer. (ii) Find a set A and a subset X of A x A such that the relation on A defined by X is symmetric and transitive, but not reflexive. (iii) Let be the relation on C defined by z a reason for your answer. w if and only if zw E R. Is ~ symmetric? Give (iv) ~ is the relation on Mat2 (R) defined by: A B if and only if the (1, 1) entry of A - BT equals 0. Is reflexive? Give a reason for your answer.

Q: Do question 2 only

A: Given :-     A = { 1,2,3,4,5} and  relation R = { (4,1),(2,1),(3,2) } In the relation R, the domain…

Q: Let A be the towns {P, Q, R, S}. Let B be the one way street relation {(P, S), (Q, P), (R, P), (S,…

A:

Q: Do question 1 only

A: For any query with the solution, please ask in the comment box.

Q: List the ordered pairs in the relation R from A = 0,1,2, 3, 4, B = 1,2, 3, 4, 5, where R is defined…

A: A=0,1,2,3,4 B=1,2,3,4,5 a2=b

Q: Represent the relation R on (refer to image)

A: According to the given information, Relation R is defined as:

Q: Suppose that f : A → B is a function, viewed as a relation (set of ordered pairs). Let f* denote the…

A:

Q: Define relations R₁, ..., R₁ on {1, 2, 3, 4} by R₁ = {(2, 2), (2, 3), (2, 4), (3, 2), (3, 3), (3,…

A:

Q: PROBLEM 7 art 1. The drawing below shows a Hasse diagram for a partial order on the set A, B, C, D,…

A:

Q: The R is the relation from {1, 2, 3} to {1, 2, 3, 4} with R = {(1, 1), (1, 2), (2, 3), (3, 4), (3,…

A: Here,  R=1,1,1,2,2,3,3,4S=1,0,2,1,3,2,3,0,4,1

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: Let X = {a, b, c, d, e,f} and S be the relation on X defined by S = || {(а, а), (а, b), (а, с), (а,…

A:

Q: Draw the diagraph of the relation R, where the relation R on {1,2,3,4} defined by (x,y) ∊ R if x^2…

A: