Hermitian matrix and Skew Hermitian matrix | Example Solved | Engineering Mathematics | Mathspedia |
A Hermitian matrix is a complex square matrix that is equal to its own conjugate transpose.
Hermitian matrices have several important properties:
1)All eigenvalues of a Hermitian matrix are real.
2)Eigenvectors corresponding to distinct eigenvalues of a Hermitian matrix are orthogonal.
3)Hermitian matrices are diagonalizable, meaning they can be decomposed into a diagonal matrix by a unitary transformation.
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