   Chapter 8.3, Problem 57ES Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
ISBN: 9781305965584

Solutions

Chapter
Section Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
ISBN: 9781305965584
Textbook Problem

Consider the set of elements { a , b , c , d } with the operation V as given in the table below. For example, to compute c ∇ d , find c in the left column and align it with d in the top row. The result is a . Is the group commutative?

To determine

Consider the set of elements {a,b,c,d} with the operation as given in the following table

 ∇ a b c d a d a b c b a b c d c b c d a d c d a b

In order to compute cd , find c in the left column and align it with d in the top row. The result is a .

Is the group commutative?

Explanation

Given: The set of elements {a,b,c,d} with the operation as given in the following table

 ∇ a b c d a d a b c b a b c d c b c d a d c d a b

Calculation:

We have the set of elements {a,b,c,d

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