8. Let A = Z* U {0}, define relation R on A × Z* by (k, l)R(m,n) → kn = lm. (a). Prove that Ris an equivalence relation. (b). What are the elements of A x Z* in the equivalence class [(1,2)]?
8. Let A = Z* U {0}, define relation R on A × Z* by (k, l)R(m,n) → kn = lm. (a). Prove that Ris an equivalence relation. (b). What are the elements of A x 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 × Z* by (k, l)R(m,n) → kn = lm.
(a). Prove that Ris an equivalence relation.
(b). What are the elements of A x Z* in the equivalence class [(1,2)]?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb6ab8905-bacd-4cb2-8fa4-b31dc43beca2%2F172d8ba5-4ccf-428f-b84c-0c3691fa6cd7%2Fl63lpd_processed.png&w=3840&q=75)
Transcribed Image Text:8. Let A = Z* U {0}, define relation R on A × Z* by (k, l)R(m,n) → kn = lm.
(a). Prove that Ris an equivalence relation.
(b). What are the elements of A x Z* in the equivalence class [(1,2)]?
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