3. Show that Z10 is isomorphic to Z2 × Z5, but that Z8 is not isomorphic to Z2 × Z4.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter7: Systems Of Equations And Inequalities
Section7.5: Matrices And Matrix Operations
Problem 3SE: Can both the products AB and BA be defined? If so, explain how; if not, explain why.
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3. Show that Z10 is isomorphic to Z2 × Z5, but that Z8 is not isomorphic to Z2 × Z4.
Transcribed Image Text:3. Show that Z10 is isomorphic to Z2 × Z5, but that Z8 is not isomorphic to Z2 × Z4.
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