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I. Determine whether the given set with the operation is a group or not. Discuss your answer. If it is a group, is it an Abelian group? Discuss why or why not. 1. The set of rational numbers Q under ordinary multiplication 2. The set S of positive irrational numbers together with 1 under ordinary multiplication 3. A rectangular array of the form4 2 is called a 2 x 2 matrix.

I. Determine whether the given set with the operation is a group or not. Discuss your answer. If it is a group, is it an Abelian group? Discuss why or why not. 1. The set of rational numbers Q under ordinary multiplication 2. The set S of positive irrational numbers together with 1 under ordinary multiplication 3. A rectangular array of the form4 2 is called a 2 x 2 matrix.

Advanced Engineering Mathematics
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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I. Determine whether the given set with the operation is a group or not. Discuss your answer. If it is a group, is it an Abelian group? Discuss why or why not. 1. The set of rational numbers Q under ordinary multiplication 2. The set S of positive irrational numbers together with 1 under ordinary multiplication 3. A rectangular array of the form is called a 2 x 2 matrix.
Transcribed Image Text:I. Determine whether the given set with the operation is a group or not. Discuss your answer. If it is a group, is it an Abelian group? Discuss why or why not. 1. The set of rational numbers Q under ordinary multiplication 2. The set S of positive irrational numbers together with 1 under ordinary multiplication 3. A rectangular array of the form is called a 2 x 2 matrix.
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