What Is Skew-Hermitian Matrix?

In linear algebra, a square matrix with complex entries is said to be skew-Hermitian or anti-Hermitian if its conjugate transpose is the negative of the original matrix.

What is Hermitian and skew Hermitian matrix with example?

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 P^θ = -P then such matrix is termed as skew hermitian. It is noted that P^θ represents the conjugate transpose of matrix P.

What is skew matrix with example?

In mathematics, particularly in linear algebra, a skew-symmetric (or antisymmetric or antimetric) matrix is a square matrix whose transpose equals its negative. That is, it satisfies the condition.