Let a be a group element and lal = o0. Complete the following statement: la'l = la'l if and only if ....
Let a be a group element and lal = o0. Complete the following statement: la'l = la'l if and only if ....
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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Expert Solution
Step 1
Given that be a group element and .
We need to complete the statement: if and only if ......
Step 2
If part:
Let
We get,
Since , we get
If and , then .
Conversely:
If
implies
If then .
Therefore, and if and only if .
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