When the conjugate transpose of a complex square matrix is equal to the negative of itself, then this matrix is called as skew hermitian matrix. If P is a complex square matrix and if it satisfies Pθ = -P then such matrix is termed as skew hermitian. It is noted that Pθ represents the conjugate transpose of matrix P.
The conjugate transpose of a matrix ‘P’ can also be denoted by.
Skew Hermitian matrix examples
The example of a skew hermitian matrix of size is 2 x 2 is given as
The example of skew hermitian matrix of size is 3 x 3 is given as
Note: For skew hermitian matrix, the diagonals elements are always equal to zero.