b

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.6: The Algebra Of Matrices

Problem 35E

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Question

For the following, determine whether the binary operation ∗ defined is commutative and whether ∗ is associative and explain in detail:

(a) ∗ defined on Z be letting a ∗ b = a − b.

(b) ∗ defined on Q be letting a ∗ b = ab + 1.

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