Page "Symmetric matrix" Paragraph 10

Every real symmetric matrix is Hermitian, and therefore all its eigenvalues are real.

( In fact, the eigenvalues are the entries in the above diagonal matrix D, and therefore D is uniquely determined by A up to the order of its entries < sup > wording </ sup >.

) Essentially, the property of being symmetric for real matrices corresponds to the property of being Hermitian for complex matrices.