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Question 256769: what is mean by hermitian matrix?
Answer by drk(1908) (Show Source):
You can put this solution on YOUR website! 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 a real symmetric matrix.
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