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We introduce right eigenvalues and subeigenvalues for square dual complexmatrices. An $n \times n$ dual complex Hermitian matrix has exactly $n$ righteigenvalues and subeigenvalues, which are all real. The Hermitian matrix ispositive semi-definite or definite if and only if all of its right eigenvaluesand subeigenvalues are nonnegative or positive, respectively. A Hermitianmatrix can be diagonalized if and only if it has no right subeigenvalues. Thenwe present the singular value decomposition for general dual complex matrices.The results are further extended to dual quaternion matrices.

Eigenvalues and Singular Value Decomposition of Dual Complex Matrices