) Let A = {1,2,3, 4} × {1,2, 3, 4}, and define a relation R on A by (1, Yı)R(x2, Y2) if r1 + y1 = x2 + Y2. 5. a) Verify that R is an equivalence relation on A. b) Determine the equivalence classes [(1,3)], [(2, 4)], and [(1, 1)].
) Let A = {1,2,3, 4} × {1,2, 3, 4}, and define a relation R on A by (1, Yı)R(x2, Y2) if r1 + y1 = x2 + Y2. 5. a) Verify that R is an equivalence relation on A. b) Determine the equivalence classes [(1,3)], [(2, 4)], and [(1, 1)].
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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