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Elements Of Modern Algebra

8th Edition
Gilbert + 2 others
ISBN: 9781285463230

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BuyFindarrow_forward

Elements Of Modern Algebra

8th Edition
Gilbert + 2 others
ISBN: 9781285463230
Textbook Problem
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Label each of the following statements as either true or false.

Mapping composition is a commutative operation.

To determine

Whether the statement, ‘Mapping composition is a commutative operation’ is true or false.

Explanation

Consider the mappings f:ZZ and g:ZZ

Let the function be given by,

f(n)=2ng(n)={n4ifniseven5ifnisodd

The composition mapping gf is given as,

(gf)(n)=g(f(n))=g(

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