all definations like rank, index, symmetric, skew symmetric, hermition, skew hemitions
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In mathematics, a Hermitian matrix (or self-adjoint matrix) is a complex square matrix that is equal to its own conjugate transpose—that is, the element in the i-th row and j-th column is equal to the complex conjugate of the element in the j-th row and i-th column, for all indices i and j:
{\displaystyle A{\text{ Hermitian}}\quad \iff \quad a_{ij}={\overline {a}}_{ji}}
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