What are the necessary and sufficient conditions for a real $n \times n$ matrix to have $n$ distinct real eigenvalues?
Ideally I'm looking for a test that does not require (and is hopefully more efficient than) computing the eigenvalues.
What are the necessary and sufficient conditions for a real $n \times n$ matrix to have $n$ distinct real eigenvalues?
Ideally I'm looking for a test that does not require (and is hopefully more efficient than) computing the eigenvalues.
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