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Suppose is the zero map defined by for all. Then what is an eigenvector of?

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Suppose<br><img src='https://www.fatskills.com/images2/GradExams/38409966-4AFF-447C-8374-D83A9632557A.png' height='14' width='14'/> is the zero map defined by<br><img src='https://www.fatskills.com/images2/GradExams/A7A823CB-3BA5-4A87-A9AF-EA7516FB8DB8.png' height='20' width='75'/> for all<br><img src='https://www.fatskills.com/images2/GradExams/C14B52AA-4252-4B8D-85CC-8F384F12DCCE.png' height='15' width='50'/>. Then what is an eigenvector of<br><img src='https://www.fatskills.com/images2/GradExams/38409966-4AFF-447C-8374-D83A9632557A.png' height='14' width='14'/>?





 
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