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Hermitian Matrix is a special type of matrix, which is same as its conjugate transpose as expressed below.
In orther words, a Hermitian Matrix has following properties
One example of Hermintian Matrix is as follows. In this example, if you conjugate the matrix A and then transpose it, the result is same as the original matrix (A). So you can say the matrix 'A' is a Hermitian matrix.
One of the important characteristics of Hermitian Matrix is that Eigenvalues of all Hermitian Matrix are all real as shown in the following example.
Related Reading : Hermitian Conjugate, Conjugate Transpose