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Skew-hermitian MatrixIn linear algebra, a square matrix (or more generally, a linear transformation from a complex vector space with a sesquilinear norm to itself) A is said to be skew-Hermitian or antihermitian if its conjugate transpose A* is also its negative. That is, if it satisfies the relation: - A* = −A
or in component form, if A = (ai,j): -
for all i and j. Examples For example, the following matrix is skew-Hermitian: -
Properties All entries on the main diagonal of a skew-Hermitian matrix have to be pure imaginary. See also
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