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Let A be an n × n matrix such that the set of all its nonzero eigenvalues has exactly r elements. Which of the following statements is true?a)rank A ≥ rb)A2has r distinct nonzero eigenvaluesc)If r = 0, then rank A < n - 1d)rank A≤ rCorrect answer is option 'A'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about Let A be an n × n matrix such that the set of all its nonzero eigenvalues has exactly r elements. Which of the following statements is true?a)rank A ≥ rb)A2has r distinct nonzero eigenvaluesc)If r = 0, then rank A < n - 1d)rank A≤ rCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let A be an n × n matrix such that the set of all its nonzero eigenvalues has exactly r elements. Which of the following statements is true?a)rank A ≥ rb)A2has r distinct nonzero eigenvaluesc)If r = 0, then rank A < n - 1d)rank A≤ rCorrect answer is option 'A'. Can you explain this answer?.

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