Left and right eigenvectors with distinct eigenvalues

Reference no: EM13124179

Let A belonging to C^nxn be a skew-hermitian.

a) Prove directly that the eigenvalues of A are purely imaginary.

b) Prove that if x and y are eigenvalues associated to distinct eigenvalues, then they are orthogonal, i.e. x^H*y = 0

Reference no: EM13124179

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