Mathematics · Linear Algebra
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?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1A 2 has r distinct nonzero eigenvalues
- 2rank A ≥ r✓
- 3If r = 0, then rank A < n - 1
- 4rank A ≤ r
Correct answer
rank A ≥ r
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