1. Which obviously remains true if is a Hermitian matrix . 2. Every matrix is consimilar to a real matrix and to a Hermitian matrix . 3. That is, the Hermitian matrix of the Fubini Study metric in this frame is 4. A Hermitian matrix is positive semidefinite if and only if all of its principal minors are nonnegative. 5. Mathematically, \ hat { \ rho } is a positive-semidefinite Hermitian matrix with unit trace. 6. Begin by choosing some value \ mu _ 0 as an initial eigenvalue guess for the Hermitian matrix A. 7. In the case that is identified with a Hermitian matrix , the matrix of can be identified with its conjugate transpose. 8. Under the covers, mathematically, any matrix can be decomposed into a Hermitian matrix and an anti-Hermitian matrix. 9. Under the covers, mathematically, any matrix can be decomposed into a Hermitian matrix and an anti-Hermitian matrix . 10. Phase estimation is used to transform the Hermitian matrix A into a unitary operator, which can then be applied at will.