(a) Define relations S and R on the set A = {a, b, c, d} as follows:S = {(a,b), (b, c), (c, d), (b, b)},R = {(b, a), (c, c), (a, c), (d, b)}.i. Find So S, So R, R-1o S o R. Is R-1 o S o R = S ?ii. Determine which of S, R, So R, S-1 or R-1 is a function.

(a) Define relations S and R on the set A = {a,b, c, d} as follows: S = {(a, b), (b, c), (c, d), (b, b)}, R= {(b, a), (c, c), (a, c), (d, b)}. %3D i. Find So S, SoR, R-o S o R. Is R-1o S o R = S ? ii. Determine which of S, R, SoR, S-1 or R-1 is a function.

(a) Define relations S and R on the set A = {a,b, c, d} as follows: S = {(a, b), (b, c), (c, d), (b, b)}, R= {(b, a), (c, c), (a, c), (d, b)}. %3D i. Find So S, SoR, R-o S o R. Is R-1o S o R = S ? ii. Determine which of S, R, SoR, S-1 or R-1 is a function.

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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(a) Define relations S and R on the set A = {a, b, c, d} as follows:
S = {(a,b), (b, c), (c, d), (b, b)},
R = {(b, a), (c, c), (a, c), (d, b)}.
i. Find So S, So R, R-1o S o R. Is R-1 o S o R = S ?
ii. Determine which of S, R, So R, S-1 or R-1 is a function.

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