6. Give an example of a relation R on A = {-1, –3, –5} such that:(a) R is both symmetric and antisymmetric.(b) R is neither symmetric nor anrisymmetric.(c) R is transitive, but RU R-1 is not transitive.

Answered: Image /qna-images/answer/31b047b9-335f-460d-9987-2080abbc9571.jpg

Answered: 6. Give an example of a relation R on A…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

4. Consider a relation R on X={a,b,c}. R= {(a,a), (b,b), (b,c), (c,b)} Please determine whether R is reflexive or anti-reflexive or symmetric or antisymmetric or transitive(with necessary process).
Asap plz
(b) Let R = {(1, 1),(1, 2),(2, 1),(2, 2), (3, 3)}. be a relation on a set A= 1,2,3} , the R is %D Antisymmetric and transitive. ii. i. Not antisymmetric, and not transitive Antisymmetric, and not transitive Non of these iii. iv.
Let R be a relation from A to B and S a relation from B to A. Prove or disprove that if S of R = IdA, then S is surjective. If the assertion is not true, find additional assertions that will make it true.
2. Let A := {1,2,3,4}: B and T:= {(a, b) E A x B | +¹ € Z}. (a) Find A x B. (b) Find T. (c) Check what property of Relations thus T have. Provide a brief explana- tion for each property.
Define a relation on Z x Z, xRy, |x - y| < 1. Is R reflexive, symmetric, and/or transitive? Explain why or why not for each property.
4-part question: Let R be a relation from A to B and S a relation from B to C. (a) Define the composition S of R, of the relations. (b) Define the reversed relation T from B to A. (c) Show that the (reverse of S of R) = (reverse of R) of (reverse of S). (d) Show that R is everywhere defined if and only if T is surjective.
Let be the relation on True False N defined by R={(n, m) : m³ = n + 1). Then R is one-to-one.
Consider the relation R on Z with rule (a, b) in R iff a + 2b is even. Is R reflexive, symmetric, transitive?
(28) Let RCIX I be the relation on I = [−1, 1] given by the set pictured below. (The set contain the points on the boundary of each triangle, and all points inside these triangles.) T -1 1 Is R reflexive? Symmetric? Transitive? An equivalence relation?
(b) Let R = {(1, 1), (1, 2),(2, 1), (2, 2),(3, 3)}. be a relation on a set A = {1,2,3} , the R is Antisymmetric and transitive. ii. i. Not antisymmetric, and not transitive Antisymmetric, and not transitive iv. iii. Non of these

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS

6. Give an example of a relation R on A = {-1, –3, –5} such that: (a) R is both symmetric and antisymmetric. (b) R is neither symmetric nor anrisymmetric. (c) R is transitive, but RU R-1 is not transitive.