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Deepak Patra posted an Question
December 14, 2021 • 11:20 am 30 points
  • IIT JAM
  • Mathematics (MA)

Is all skew hermitian matrix is diagonalizable??

is all skew hermitian matrix is diagonalizable?? ??????????????¿???????

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  • Anonymous User

    The eigenvalues of a skew-Hermitian matrix are all purely imaginary (and possibly zero). Furthermore, skew-Hermitian matrices are normal. Hence they are diagonalizable and their eigenvectors for distinct eigenvalues must be orthogonal.

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    how to proof that all skew hermitian matrix is diagonalizable??????

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