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What is the geometric effect of multiplying a Gaussian integer by?

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What is the geometric effect of multiplying a Gaussian integer<br><img src='https://www.fatskills.com/images2/GradExams/FAAA5A53-643E-42D8-8997-2B3A2673E109.png' height='10' width='9'/> by<br><img src='https://www.fatskills.com/images2/GradExams/0C369761-189B-4CC4-89ED-94AD193B0880.png' height='14' width='6'/>?





 
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