The inner product for complex square matrices of the same size is the Frobenius inner product . Since trace and transposition are linear and the conjugation is on the second matrix, it is a sesquilinear operator. We further get Hermitian symmetry by,
The inner product for complex square matrices of the same size is the Frobenius inner product  Since trace and transposition are linear and the conjugation is on the second matrix it is a sesquilinear operator We further get Hermitian symmetry by