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*A Hermitian matrix is defined as the square matrix with complex  entries which is equal to its own conjugate transpose.  
 
*A Hermitian matrix is defined as the square matrix with complex  entries which is equal to its own conjugate transpose.  
 
*i.e., the matrix A is Hermitian if and only if <math>A=A^T</math>, where <math>A^T</math> denotes the conjugate  transpose, which is equivalent to the condition <math> a_{ij}=\bar {a^{ji}}</math>.
 
*i.e., the matrix A is Hermitian if and only if <math>A=A^T</math>, where <math>A^T</math> denotes the conjugate  transpose, which is equivalent to the condition <math> a_{ij}=\bar {a^{ji}}</math>.
*A hermetian matrix is also called as self-adjoint matrix.
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*A hermitian matrix is also called as self-adjoint matrix.
 
*The following matrix is the example of 3x3  Hermitian matrix:
 
*The following matrix is the example of 3x3  Hermitian matrix:
 
<math>\begin{bmatrix}
 
<math>\begin{bmatrix}
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