Let be an matrix with characteristic polynomial. Which of the following is true?

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Let<br><img src='https://www.fatskills.com/images2/GradExams/410E39D5-BF81-4C79-9D35-17456837F093.png' height='15' width='14'/> be an<br><img src='https://www.fatskills.com/images2/GradExams/C585F1F4-9D73-4FEE-A60C-BDC1CF95DE1B.png' height='11' width='47'/> matrix with characteristic polynomial<br><img src='https://www.fatskills.com/images2/GradExams/7501162A-C6B8-4C81-B0E4-8BDBF5750A02.png' height='13' width='11'/>. Which of the following is true?