1- Let and O be two binary operations on Z defined by: a •b-a+ 2b and Ob - Zab, for all a, beL Then: (b) • is non-commutative and O is commutative (4) and O are non-commutative (c) - is commutative and O is non-commutative (4) - and o are non-commutative (a) and O are commutative

1- Let and O be two binary operations on Z defined by: a •b-a+ 2b and Ob - Zab, for all a, beL Then: (b) • is non-commutative and O is commutative (4) and O are non-commutative (c) - is commutative and O is non-commutative (4) - and o are non-commutative (a) and O are commutative

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

1- Let and O be two binary operations on Z defined by: a b-a+ 2b and
«Ob - Zab, for all a,beZ Then:
(a)
(b) • is non-commutative and O is commutative
(4) and O are non-commutative
(c) - is commutative and O is non-commutative (d) - and o are non-commutative
and O are commutative

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