Antilinear operators and special matrices

The following facts are proved: (a) Concommutation of complex matrices means the conventional commutation of the antilinear operators defined by these matrices. (b) Symmetric, skew-symmetric, unitary, and conjugate-normal matrices interpreted as antilinear operators acting in the unitary space $\mathbb C^n$ are Hermitian, skew-Hermitian, unitary, and normal operators, respectively.