Let A = {a, b, c, d). Consider the following table for the binary operation *: A x A → A: b d d b a b с d a d с b d U d b b с * b a d с U с The binary operation does not satisfy associativity. Which one of the following alternatives can be used in the calculations of a counterexample to prove that does NOT satisfy associativity? Select one: a. Determine (a* d) *a and a * (d * a). O b. Determine (a * d) * d and a * (d * d). c. Determine (a* c) * c and a * (c * a). d. Determine (c* a) * b and c* (a*b).
Let A = {a, b, c, d). Consider the following table for the binary operation *: A x A → A: b d d b a b с d a d с b d U d b b с * b a d с U с The binary operation does not satisfy associativity. Which one of the following alternatives can be used in the calculations of a counterexample to prove that does NOT satisfy associativity? Select one: a. Determine (a* d) *a and a * (d * a). O b. Determine (a * d) * d and a * (d * d). c. Determine (a* c) * c and a * (c * a). d. Determine (c* a) * b and c* (a*b).
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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QUESTION 27
Kindly answer correctly. Please explain
Transcribed Image Text:Let A = {a, b, c, d). Consider the following table for the binary operation *: A x A → A:
b
d
d
b
a
b
с
d
a
d
с
b
d
U
d
b
b
с
*
b
a
d
с
U
с
The binary operation does not satisfy associativity. Which one of the following alternatives can be used in the calculations of a
counterexample to prove that does NOT satisfy associativity?
Select one:
a. Determine (a* d) *a and a * (d * a).
O b. Determine (a * d) * d and a * (d * d).
c. Determine (a* c) * c and a * (c * a).
d. Determine (c* a) *b and c* (a*b).
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