10) Which of the following is a group?O (Z,*), a* b = a + b - 1 va, be ZO (Z,*), a* b = a - 2b va, b e Z%3DO (Z,*) ,a* b = a + b - 2 va, b e ZO (Z,*), a* b = a + 2b - 1 va, b e Z

Answered: Image /qna-images/answer/638db5fd-8253-4cc8-8910-d07d96a946b0.jpg

10) Which of the following is a group? * O (Z,*), a* b = a + b - 1 va, b e Z O (Z,*), a* b = a - 2b va, be Z O (Z.*) ,a* b = a + b - 2 va, b e Z (Z,*), a* b = a + 2b - 1 va, b e Z O O O

10) Which of the following is a group? * O (Z,), a b = a + b - 1 va, b e Z O (Z,), a b = a - 2b va, be Z O (Z.) ,a b = a + b - 2 va, b e Z (Z,), a b = a + 2b - 1 va, b e Z O O O

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

10) Which of the following is a group?
O (Z,*), a* b = a + b - 1 va, be Z
O (Z,*), a* b = a - 2b va, b e Z
%3D
O (Z,*) ,a* b = a + b - 2 va, b e Z
O (Z,*), a* b = a + 2b - 1 va, b e Z

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Definition(Group)

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Option (1) is a group

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Option(2) is not a group

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Option(3) is a group

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Option(4) is not a group

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