Suppose that A is the set {x, ß, y, d, ε}.A.) Construct a relation r on A that is a partial ordering.B.) Prove that your relation r from part (a) is a partial ordering.C.) Find a matrix that will represent r from part (a).D.) Draw a Hasse diagram for your relation r.

This is a question of Relation. To construct a partial ordered relation from the given set.

Answered: A.) Construct a relation r on A that is…

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

Need this answer. Thanks.
Do 2
4. Let A := {1, 2, 3, 4} := B. (a) What is the cartesian product of A and B. (b) Find S := {(a, b)|f € Z}. (d) Is S a Partial Order? Justify your answer.
A relation R on a set S is called a partial order if it satisfies three properties (one of which is new to us): I R is reflexive. II R is anti-symmetric: Vr, y E S, (xRy A yRx) = x = y. III R is transitive. Which of the following relations is a partial order on the set S = N? Select only one answer. (a) xRy = a² = y? (b) xRy + x|y (c) rRy + xy is even (d) xRy x + y is a prime number (e) xRy + xy > 3
Let R be a relation on {a, b, c, d} defined as R = {(a, a), (a, b), (a, c), (b, a), (b, b), (b, c), (c, a), (c, b), (c, c), (d, d)}. Show that the relation R is an equivalence relation using relation matrix.
Exercise 5: A. Represent each of these relations on {1, 2, 3} with a matrix (with the elements of this set listed in increasing order). B. Draw the digraphs representing each of the relations below. C. Determine whether the relations represented by the directed graphs in part B are reflexive, symmetric, antisymmetric, asymmetric, irreflexive and/or transitive. а) {(1, 1), (1, 2), (1, 3)} А. B C b) {(1, 2), (2, 1), (2, 2), (3, 3)} А. C
1 1 1 c) The matrix M = 1 ㅇ represents the relations R defined 1 1 L1 0 0 1. the set A = {1, 2, 3, 4}. i) List the ordered pairs in the relation R. i) Draw the graph representing the relation R. d) How many edges does a 50–regular graph with 100 vertices have?
A4. a. Draw a Digraph represented by the adjacency matrix 1 1 1 1 1 1 1 b. Consider the recurrent relationA, = 2An-1 + 3An-2, where n 2 2 and A = 1, A, = 2. Compute the next 4 terms (A2, A3, A4, A5) of the relation.

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

A.) Construct a relation r on A that is a partial ordering. B.) Prove that your relation r from part (a) is a partial ordering. C.) Find a matrix that will represent r from part (a). D.) Draw a Hasse diagram for your relation r.