Let and let be a normal operator such that. Then, which of the following is true?

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Let<br><img src='https://www.fatskills.com/images2/GradExams/DA1DA953-192D-4099-96EA-0667EA8C17FE.png' height='15' width='63'/> and let<br><img src='https://www.fatskills.com/images2/GradExams/9EDFE78D-3C4D-4DE6-B431-1FF9AC8560BF.png' height='20' width='81'/> be a normal operator such that<br><img src='https://www.fatskills.com/images2/GradExams/9662481A-5AFB-47E2-B966-9B4A3FD705DB.png' height='17' width='69'/>. Then, which of the following is true?