8. Let A = Z+ u {0}, define relation R on A x z* by (k, 1)R(m, n) + kn = lm. (a). Prove that Ris an equivalence relation. (b). What are the elements of A × Z* in the equivalence class [(1, 2)]?
8. Let A = Z+ u {0}, define relation R on A x z* by (k, 1)R(m, n) + kn = lm. (a). Prove that Ris an equivalence relation. (b). What are the elements of A × Z* in the equivalence class [(1, 2)]?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![8. Let A = Z+ u {0}, define relation R on A x z* by (k, 1)R(m, n) + kn = lm.
(a). Prove that Ris an equivalence relation.
(b). What are the elements of A × Z* in the equivalence class [(1, 2)]?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa72e8965-bd79-4464-a740-a72095a0be2c%2Fe1940c2b-29cc-4322-b319-c3e6563e4b61%2Fqeyixg9_processed.png&w=3840&q=75)
Transcribed Image Text:8. Let A = Z+ u {0}, define relation R on A x z* by (k, 1)R(m, n) + kn = lm.
(a). Prove that Ris an equivalence relation.
(b). What are the elements of A × Z* in the equivalence class [(1, 2)]?
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