Non-Symmetric Matrix: Real Eigenvalues Examples

LagrangeEuler · Apr 24, 2014

Do you know any example of matrix which is not symmetric and has real eigenvalues?

maajdl · Apr 24, 2014

Any lower (or upper) triangular matrix with a real diagonal would be an example.
Starting from this example, you could generate as many others as you want by applying a change of basis that would render the matrix non-triangular, but keep its eigenvalues the same.

Non-Symmetric Matrix: Real Eigenvalues Examples

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Non-Symmetric Matrix: Real Eigenvalues Examples

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