The hermitian conjugate of a matrix A, noted A*, is also called the adjoint of A. This means that entry (i,j) of A* is the complex conjugate of entry (j,i) of A. If the entries of A are real numbers, then its hermitian conjugate is its transpose. A matrix is said to be hermitian if it is equal to its hermitian conjugate, that is, A = A*. Hermitian matrices whose entries are real numbers are symmetric matrices.

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