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Skew-Hermitian matrix defined:

If the conjugate transpose, A†, of a square matrix, A, is equal to its negative, -A, then A is a skew-Hermitian matrix.

Notes:

1. The main diagonal elements of a skew-Hermitian matrix must be purely imaginary, including zero.

2. The cross elements of a skew-Hermitian matrix are complex numbers having equal imaginary part values, and equal-in-magnitude-but-opposite-in-sign real parts.

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Q: What is the definition of a skew-Hermitian matrix?
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