Draw the directed graph of the relation R = {(1,2), (2,1), (1,1), (2,2), (3,3), (4,1)} X=123 43

Q: 9.3. Let A = {0,1}. Determine all the relations on A.

A: The objective is to determine all the relations on A.

Q: 2(a) A relation R is defined on the set A={1,2,3,4} from A to A, where R' = {(1,2); (1,3); (1,4);…

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Q: R = {(1,1), (1,2), (1,3), (2,3), (7,1), (7,2), (7,3), (4,5), (4,6), (5,6), (5,5)}

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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,…

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Q: Let A = {1,2} and B = {1,2}. Which of the following gives a relation satisfying the condition that…

A: Topic = Algebra 'd' gives a relation satisfying the given condition.

Q: Let R be a relation on the set A = {0, 1, 4, 8} defined by xRy if and only if x + y < 8. (i) List…

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Q: 7.4.3 Let X = {1,2,3}. Define the relation R = {(1, 1), (1,2), (1,3), (2, 1), (2, 2), (3, 1), (3,3)}…

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Q: 9.5. For the relation R= {(1,1),(1,2) , (1, 3) , (2, 2) , (2, 3) , (3, 3)} defined on the set {1,…

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Q: Q4) Find the following: 1- Find the relation Z from C to X where C = {1, 2, 3, 5} and X = {4, 6, 9}.…

A: Here, C=1,2,3,5X=4,6,9

Q: Q3: Let A = {a, b, c, d} and define relations Ri. R, Rs, and Ri on A, what would be their directed…

A: As per bartleby guidelines for more than three subparts in a question only first three should be…

Q: You are given two graphs G and H with V(G) = {a, b, c, d} and V(H) = {1, 2, 3}. 1. How many…

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Q: Draw the directed graph of the relation R on A = {1,2,3,4,5,6,7,8} defined as R = {(a,b)|a,b e A and…

A: Here, the relation is: R=(a,b)|a,b∈A and a≡b mod 3 That is: a-b is divisible by 3. So, 7-1=6 is…

Q: 1. Determine whether R = {(x, y) | x + y = 0} on the set of all real numbers is reflexive,…

A: Since you have posted a multiple question according to guildlines I will solve first(Q1) question…

Q: 8. Which of the following relations is a partial order but not a linear order for A=(1,2,3}: *…

A: PARTIAL ORDER:                                                         ' A relation R is said to be…

Q: Let A ={1, 2}, B = {1, 2, 3} define a relation R from A to B given any {x, y} ϵ A cross B.…

A: A=1, 2, B=1, 2, 3 R is a relation defined as R=x, y: x+y2 is an integer.

Q: Determine whether the following sets are linearly dependent or linearlyindependent. (a) {(; )( )} .…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: 7. Let A=(1:2:3; 4) and R be the relation on (A) List the ordered pairs in the relation R. (B) Find…

A: Since you have posted multiple questions we will provide the solution only to the first question as…

Q: Let A = {6, 8, 13, 15, 9, 16} and define a relation R on A as follows: xRy ⟺ 7 |(x – y) Draw a…

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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: (4) Let T be the partial order relation on P({1,2,..., 20}) defined by ATB if and only if |A < |B|…

A: Question: Let T be the partial order relation on P1,2,...,20 defined by ATB if and only if A&lt;B or…

Q: 2. Is there a linear map from R³ to R³ such that T(1,3,0) (0,0,0) and T(-2,0,0) = (0,0,0) and T(3,…

A: We  have  to  find a  linear  transformation T: ℝ3 →ℝ3   for  which…

Q: Given the relation R = {(1,2),(2,3)} on the set A = {1,2,3} . What is the minimum  number of ordered…

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Q: Create (a) the ordered pairs, (b) graphical representation, and (c) the relation matrix, for  the…

A: Given a relation R on the set B as "is factor of" B=1,2,3,6. a The ordered pair is…

Q: A relation R is defined on the A={1,2,3...9.10}  as follows: xRy means "3x- 2y=1"   List the…

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Q: 2. Find the Domain of the given functions/relations A={(1,3),(2,4),(3,0) B={(1,2),(0,2).(5,4) D={2,…

A: Here, we have to find domain (D) and range (A) of set A and B

Q: Q2. (a) Find the equivalence class [-3]5 (b) Find the ordered pairs of the relation R from the set A…

A: We have to answer the following questions :  (a) Find the equivalence class  -35 (b) Find the…

Q: Draw the graph of f(x) = 52-4

A: f(x)=5x−4

Q: The following definitions are used: a relation on a set A is defined to be irreflexive it, and only…

A: The given set is A=01,2,3 The given relation is R=0,0,0,1,0,2,1,2. (i) Using the definitions of…

Q: Identify the directed graph that represents the relation {(a, a), (a, b), (b, c), (c, b), (c, d),…

A: We need to identify the directed graph that represents the relation {(a, a), (a, b), (b, c), (c, b),…

Q: On the set X = (1,2,3,4) find the relation R1 which is not reflexive is symmetric, is not…

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Q: draw the graph of this relation. Search this relation

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Q: 15. Let x = (x1, x2). Using the feature mapping show that *(2,3)·¤((4,4) –-(2,3)·(4,4)*

A: Given that for x=x1,x2, the feature mapping is…

Q: 4. Define a relation R on N by aRb if a and b have no common factors except 1. (a) Give an example…

A: We have define  a relation R on natural numbers (N) by aRb if a and b have no common  factors except…

Q: b) The relation R on A = {a, b, c, d} is defined by the following digraph. b (i) List all paths of…

A: (i) Paths of length 2 are a-b-d, c-d-c, a-c-d, d-d-c, c-c-d, d-d-a

Q: 9. List the ordered pairs in the equivalence relation on A = {1, 2, 3, 4, 5} associated with these…

A: Equivalence relation is relatuon which is reflexive, symmetric and transitive.

Q: G) In 2D transformations, is the following relation TRUE or FALSE? [2] R(9, )R(9, )= R(9, )R(9, ) =…

A: The given relation is true regarding the theorem of transformation in case of 2D

Q: R.5. Define a relation < on the set of ordered pairs of real numbers (x, y) as follows: (X:V1)< (x2,…

A: The relation ≺ is defined as follows:  x1,y1≺x2,y2 if and only if x1&lt;x2 or x1=x2 and y1≤y2

Q: Let A = {0, 1, 2, 3), and define a relation R, on A as follows: R₂ = (0, 0), (0, 1), (1, 1), (1, 2),…

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Q: 8. If the graph of h(x) goes thro following statements are true fc

A: 8) y=h(x)g =h(x)This transformation only affects y-value.A(-16, 4)y(x=-16)=4, g(x=-16)=4 =2A' (-16,…

Q: Consider the relation R = {(1,1);(2,3);(3,5);(4,7)}. a. Prove that R is a function from {1,2,3,4}…

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Q: Draw a directed graph (digraph) for the relation on {1,2,3,4} {(1,1), (1,4), (2,2), (3,3), (4,1)

A: From the given relation {(1,1), (1,4), (2,2), (3,3), (4,1)} on {1,2,3,4}, draw a directed graph.…