Suppose is a linear operator. Then is an eigenvalue of if and only if

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Suppose<br><img src='https://www.fatskills.com/images2/GradExams/9D0E9491-F04D-403B-A77D-0DAFB84115B5.png' height='20' width='102'/> is a linear operator. Then<br><img src='https://www.fatskills.com/images2/GradExams/67E075DF-0642-4C67-A64C-D0E19A6BE0F5.png' height='15' width='50'/> is an eigenvalue of<br><img src='https://www.fatskills.com/images2/GradExams/38409966-4AFF-447C-8374-D83A9632557A.png' height='14' width='14'/> if and only if