In linear algebra, a normal eigenvalue refers specifically to an eigenvalue of a normal matrix. A matrix \( A \) is defined as normal if it commutes with its conjugate transpose, that is: \[ A A^* = A^* A \] where \( A^* \) is the conjugate transpose of \( A \). Normal matrices include various types of matrices, such as Hermitian matrices, unitary matrices, and orthogonal matrices.
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