Eigenvalues Trivia

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Medium

February 18th
Questions
  • What mathematical structure must a square matrix have for it to possess eigenvalues?
  • Which type of matrix has all eigenvalues equal to zero?
  • When are the eigenvalues of a symmetric matrix guaranteed to be real?
  • What is the relationship between the eigenvalues of a diagonal matrix and its diagonal elements?
  • What is the sum of the eigenvalues of a square matrix equal to?