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Matrix-Hermitian Matrix


Hermitian Matrix is a special matrix, which is same as its conjugate transpose as expressed below.



One example is as follows.



One of the important characteristics of Hermitian Matrix is that Eigenvalues of all Hermitian Matrix are all real as shown in the following example.



For more practical meaning of Hermitian matrix, refer to Visualizing Hermitian Matrix as An Ellipse with Dr. Geo (I strongly recommend you to read this)