Question: Let A be 3 x 3 matrix with real entries, then A has an eigen value which is purely imaginary at least one real

Let A be 3 x 3 matrix with real entries, then A

Let A be 3 x 3 matrix with real entries, then A has an eigen value which is purely imaginary at least one real eigen value at least two eigen values which are not real at least two distinct real eigen values

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