Let A = {1, 2, 3} and B = {4, 9, 21, 25). Define the relation R from A to B bya R b if a divides b. (We say a divides b if there is an integer m such thatb = am. In other words, a is a factor of b or b is a multiple of a). List all themembers of R. [Hint: (2, 4) belongs to R since 2 divides 4.]

Answered: Image /qna-images/answer/2fc434d3-412f-4b26-b8ce-7d8256c16874.jpg

Answered: Let A = {1, 2, 3) and B = {4, 9, 21,…

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

9.25. Let A = {1, 2, 3, 4, 5, 6}. The relation R = {(1,1), (1, 5), (2, 2), (2, 3), (2, 6), (3, 2), (3, 3), (3, 6), (4, 4), (5, 1), (5, 5), (6, 2), (6, 3), (6, 6)} is an equivalence relation on A. Determine the distinct equivalence classes.
6. If A = {1, 2, 3} and B = {2, 3, 4}, and R is the relation xRy when x + y is divisible by 3, then R = O {1, 2), (2, 4)} all of these O {(1, 2), (2, 4), (3, 3)} O {1, 2), (3, 3)}
For (a,b),(c,d) E N×N define the relation (a,b) ~ (b,c) if and only if ab = cd. Is this relation symmetric and transitive? True False
2. Let A = {1,2, 3}, B = {4, 5, 6}, C = {7,8, 9}. Consider the relations R from A to B, S from B to C, and T on A. R = {(1, 5), (2, 4), (1, 6)} S = {(4, 8), (5, 7), (6, 8), (6, 9)} Т 3 {(1,2), (2, 3), (3, 1), (1, 1), (2, 2), (3, 3)} Find the following relations (a) Find the compositions Ro S, T o R, T o T. (b) Find the matrices MR, Ms, MT, MTOT, MTOR and MRos of the respective relations R, S, т, То Т, То R, and Ro S.
The relation {(1,2), (1, 3), (3, 1), (1, 1), (3, 3), (3, 2), (1, 4), (4,2), (3,4)} is Select one: a. Reflexive O b. Transitive O c. Symmetric O d. O e. all of the above none of the above
For the relations: A x B, such that: A = {37, 38, ..., 42} and B = {42, 43,..., 47} Count how many possible ways N₁ to have functions P: A B N₁ = Count how many possible ways N₂ to have as one-to- one function N₂ = Count how many possible ways N3 to have y NOT onto. N3 =
Consider the relation R = {(1, 1), (1,3), (2,4), (3, 1), (3,3), (4, 3)} on the set A = %3! {1,2,3,4,5}. Find the Symmetric and reflexive closure.
The domain of the relation A is the set of all real numbers. Ay if |z-y ≤2
Let X = {a,b,c} and Y = {1,2,3,4}. Which of the relations A,B,C defined below are functions from X to Y? a.) A = {(a,1), (b,2), (c,3)}
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.
Let P={1.2,3,4,12,36} and the relation set R={(1,1) ,(2,2),(3,3),(4,4),(12,12),(36,36),(1,2),(1,3),(1,4),(1,12),(1,36),(2,4)(2,12),(2,36),(3,12),(3,26),(4,12),(4,36)}. Show that (P,R) is a poser. Represent the relation using the diagraph and then draw the Hasse diagram.

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

Let A = {1, 2, 3) and B = {4, 9, 21, 25). Define the relation R from A to B by a R b if a divides b. (We say a divides b if there is an integer m such that b = am. In other words, a is a factor of b or b is a multiple of a). List all the members of R. [Hint: (2, 4) belongs to R since 2 divides 4.]