High Quality Content by WIKIPEDIA articles! A Hermitian matrix (or self-adjoint matrix) is a square matrix with complex entries which is equal to its own conjugate transpose – that is, the element in the ith row and jth column is equal to the complex conjugate of the element in the jth row and ith column, for all indices i and j: a_{i,j} = overline{a_{j,i}},. If the conjugate transpose of a matrix A is denoted by A^dagger, then the Hermitian property can be written concisely as A = A^dagger,. Hermitian matrices can be understood as the complex extension of real symmetric matrices.

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