Determine the orders of the elements of D∞
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.2: The Kernewl And Range Of A Linear Transformation
Problem 64E
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Question
Determine the orders of the elements of D∞
Expert Solution
Step 1
It is known that,
also it can be observed that,
Let .
If , then it can be observed that . so .
If , then it can be observed that . so .
If and is an even number.
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