SubjectموضوعDate :الموافقLet Azfl,2,3} and B{1,2,3,4The relations Ru=f(h0,/2,),(3,2)|and Rg={C62),(2,2),(1;3) , [3,4)}find the following Ye lahions.a) R,?2.R,

Answered: Image /qna-images/answer/3b4e912a-4c62-4496-b87c-96379382d51a.jpg

Answered: Let Asfl,2,3} and The relations…

Math

Algebra

Let Asfl,2,3} and The relations Ri=f(),(2,),(3,2) | find the following Ye lations

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.7: Relations

Problem 12E: Let and be lines in a plane. Decide in each case whether or not is an equivalence relation, and...

See similar textbooks

Related questions

Q: The relation R on X={1,2,3,4}defined by (x,y) € R if x=y.

Q: 2. LetA={0,1,2,3,4}. Write out the relation R that expresses ≥ on A.

Q: 2. If A = {1, 2, 3} and B = {2, 3, 4}, and R is the relation on AxB defined by xRy when x + 2y is…

Q: Define relations S and R on the set A = {x, y, z, w} as follows S = {(y, x), (x, w), (w, z), (x,…

Q: Let R1 = {(1,1), (2,2)} and R2 = {(1,1), (1, 2)} be relations on A = {1,2}. Then R1 UR

A: In this question given that two sets R1 and R2 and we find the unions of these sets and relation of…

Q: 1.8 Exercise Prove that if (X,X) is a cut, then f(X,X)< c(X,X) or equivalently, IS| < c(X,X)

A: Given that X,X is a cut. The by the definition of cut, X∪X=S,X≠∅,X≠∅,X∪X=∅ And if a∈X,b∈X→a<b And…

Q: Suppose that Find the Jacobian Metrix for map.

A: Given y1=x1x2-x2x4y2=x12-x42y3=x1x2x3x4

Q: Suppose R and S are relations on {a, b, c, d}, where R = {(a, b), (a, d), (b, c), (c, c), (d, a)}…

A: we have given relations R and S on {a, b, c, d} and we need to find composition R∘S

Q: Give an example of numbers x, y such that |x| + |y| = x − y.

A: Given that: give an example of numbers x, y such that |x| + |y| = x − y.

Q: Let A = {1, 3, 5, 7, 9, 11}, B= {a, b, c, d, e}, and ƒ be the function from A to B defined as below:…

Q: If A = {2, 3, 4, 5}, B = {1, 2, 3} then the relation R = { (a, b)|asb} is given by: {(2, 3), (2, 2),…

Q: Let S = { (0,0), (0,3), (1,0), (1,2), (2,0), (3,2) } Find S', the transitive closure of S

Q: Is the relation R, defined on the set of real numbers by xRy if 2x + y = 3. antisymmetric?

Q: 11. If |A| = 3, how many relations are there on A?

A: Given A=3

Q: Let =[2,0}, then f is o- algebra.

A: Given a statement

Q: Show the span {(1,0, 1), (-1, 2, 3), (0, 1, – 1)} is all of R'.

A: Let x=1, 0, 1, y=-1, 2, 3 and z=0, 1, -1. We have to show that spanx, y, z is actually the vector…

Q: The relation by a = b (modn) is Partial Order Relation Ture O False O

Q: Let A = {3, 4, 5} and B = {1, 2, 3, 4} and define a relation R: A → B as follows: For all…

Q: Let A = { 2, 3, 4} and B = { 6, 8, 10 } and define a relation R from A to B as follows: For all…

A: Using relation property,

Q: Let Let A={2,4} and B = {1,3,5} and define relations U, V, and W from A to B as follows. For all (x,…

A: Given that - Let A={2,4} and B = {1,3,5}

Q: Let A = {2, 3, 4} and B= {6, 8, 10} and define a relation R from A to B as follows: For all (x, y) ϵ…

A: Relation: A set is a ordered pair is defined as a relation Let us consider the set A and B , then…

Q: 1 If MR =: 1 lo 1 1., then the relation ol 1 Ris Reflexive Transitive Anti-symmetric Symmetric

A: To find: The type of relation R. Concept used: Reflexive: If all the diagonal element of MR is 1,…

Q: Let S = {0, 1, 2, 3} and the relations A, B, and C on S are as follows: А %3 (0, 0), (0, 1), (0, 3),…

A: Equivalence Relation An equivalence relation on a set S is a subset of SXS, i.e., a collection of…

Q: Let f(z) be an ODD fanetion. If the point (2,3) belongu to f, then another point likely to (0,0) (2,…

A: Given f(x) is odd function.

Q: Verify the relations (5).

Q: Is the set X is linearly dependent or independent X = {(1,0,1,0), (0,3,0,1), (1,1,2,2), (3,4,1, −2)}

Q: Show that R³ is spanned by S = {(1,1,1), (1, –1, 0), (0, 1, – 1)}.

Q: 7. Compute gfg, the conjugate pair of f by g for f= (2, 3, 5, 4) and g = (1, 3, 2)(4, 5).

Q: Show that R³ is spanned by S = {(1,1,1), (1, – 1, 0), (0, 1, – 1)}.

Q: Let ā = (- 4, - 5) and b (- 5, 0). Find the projection of b onto ä. Round your answer to at least 3…

Q: How many symmetric relations on the set A = {1,2, 3, 4, 5, 6, 7, 8} contain the ordered pairs (2,…

Q: Use the Chain Rule to compute

A: The partial derivative is ∂∂ulnu2+uv. The partial derivative of a function with respect to a…

Q: ☺ Let (u,Ue...,un) be a lineorly ndependent list. Which True Statement? is a has --- a non-zero…

Q: Let S = {1,2,3,... 18} and define the relation R by xRy if xly. Draw the Hasse diagram for R.

Q: Let S = {1,2,3, 4}. For each of the following relations on S give its transitive closure. a) {(1,1),…

A: Concept: In mathematics, the transitive closure of a binary relation R on set X is the smallest…

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

A: Given sets are: A={0,1,2,3,4} B={1,2,3,4,5} Relation R consist of those ordered pairs (a,b) such…

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,…

Q: Let A = {1, 2, 3, 4, 5, 6, 7, 8}. How many possible symmetric relations over A contain the ordered…

A: A relation R is said to be symmetric if a,b∈R implies b,a∈R. It is given that A = {1, 2, 3, 4, 5, 6,…

Q: How many distinct equivalence classes exist in the relation R defined as below: x Ry + 3| (2x - )

Q: Suppose the operators Å and B are projection operators. Show that the sum of two projection…

Q: Let S = (0, 1, 2, 3} and the relations A, B, and C on S are as follows: %3D A = {(0, 0), (0, 1), (0,…

Q: Let S = {0, 1, 2, 4, 6}. Test the following relation whether it has equivalence relation on S. R =…

A: Given relation R = {(0, 0), (1, 1), (2, 2), (4, 4), (6, 6), (0, 1), (0, 2), (1, 2), (4, 6)} on S =…

Q: What is the composite

A: Let A,B and C be three sets. Suppose that R is a relation from A to B, and S is a relation from B to…

Q: Is this relation

A: Using definition of relation

Q: Let F(x, y, z) = (z, x, y), ar (0,0,0), (0, 1, 1), vertices are ar

A: Introduction: Stroke's theorem is simply a higher-dimensional version of Green's theorem. The line…

Q: Define a relation R from R to R as follows: For all (x, y) ER×R, (x, y) eR if, and only if, x = y? +…

Q: Show that R3 is spanned by S = {(1,1,1), (1, –1,0), (0, 1, – 1)}

Q: Let A = {2, 4} and B = {1, 3, 5} and define relations U, V, and W from A to B as follo %3D For every…

A: A function from a set X to a set Y is an assignment of an element of Y to each element of X. The set…

Q: Let S = (0, 1, 2, 3} and the relations A, B, and C on S are as follows: A = {(0, 0), (0, 1), (0, 3),…

Question

100%

Subject
موضوع
Date :
الموافق
Let Azfl,2,3} and B{1,2,3,4
The relations Ru=f(h0,/2,),(3,2)|
and Rg={C62),(2,2),(1;3) , [3,4)}
find the following Ye lahions.
a) R,?
2.
R,

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Interpolation$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

Similar questions

Let and be lines in a plane. Decide in each case whether or not is an equivalence relation, and justify your decisions. if and only ifand are parallel. if and only ifand are perpendicular.
Let A={a,b,c,d,e} and S, T, U and V relations on A where S = {(a,a), (a,b), (b,c), (b,d), (c,e), (e,d), (c,a)} T = {(a,b), (b,a), (b,c), (b,d), (e,e), (d,e), (c,b)} U= {(a,b), (a,a), (b,c), (b,b), (e,e), (b,a), (c,b), (c,c), (d,d), (a,c), (c,a)} V= {(a,b), (b,c), (b,b), (e,e), (b,a), (c,b), (d,d), (a,c), (c,a)} a) Which of the relations are reflexive? Justify your answer. b) Which of the relations are antisymmetric? Justify your answer. c) Find U V. d) Find T─S.
Let Let A={2,4} and B = {1,3,5} and define relations U, V, and W from A to B as follows. For all (x, y) € AXB,
Prove that the four points P(2, ;1, 1), Q(1, 3, ; 2), R((2, 1, ; 3) and S(3, 2, 0) are coplanar
Suppose that A = { 1, 2, 3, 4, 5 } and B = { 1, 3, 5 }. Let R1 = { (1, 1), (2, 1), (2, 3), (2, 5), (3, 1), (3, 5), (4, 1), (5, 3), (5, 5) } and R2 = { (1, 1), (1, 3), (1, 5), (2, 3), (3, 1), (3, 3), (4, 1) }. List the relations R1 ∪ R2, R1 ∩ R2, R1 -- R2, R2 -- R1, and R1 ⊕ R2 in order of decreasing cardinality (largest on top).
Let u = (2, 3, 1), v = (1, 3, 0), and w = (2, -3, 3). Since (1/2)u -(2/3)v - (1/6)w = (0, 0, 0), can we conclude that the set {u, v, w} islinearly dependentover Z7?
Let A = {1, 2, 3}. Then show that the number of relations containing (1, 2)and (2, 3) which are reflexive and transitive but not symmetric is three.
Our universe U is Z (integers), and R is the relation defined by R(x,y):=x<y^2 For example, R(3,-2) and R(1,1) are T, while R(5,-2) and R(3,1) are both F. R is relexive, symmetric, transitive? give counterexample
Show that the points P(1,1,1), Q(2,3,2), R(3,-2,5), and S(4,0,6) are coplanar
Compute the complement of relation R. R={(1, 1), (5, 1), (5, 5), (6, 1), (6, 6), (7, 1), (7, 7)}
Let A = {1, 2, 3, 4, 5, 6, 7, 8}. How many possible symmetric relations over A contain the ordered pairs (2, 3), (3, 2), (4, 7), (5, 5) and (8, 7)?
Consider the relation R = {(1, 2),(2, 1),(2, 3),(3, 4),(4, 1)} on {1, 2, 3, 4}.Is R symmetric? Is it antisymmetric? Explain.