More Types of Matrices

Symmetric Matrix

If $A=A^{T}$. Subset of square matrices.

Skew Symmetric Matrix

If $A=-A^{T}$. Subset of square matrices. All elements in main diagonal are $0$.

Complex Conjucate of a Matrix

Suppose $A=(\,a_{\text{ij}}\,)_{n\times n}$. Complex conjucate matrix of $A$ is:

Hermitian Matrix

A square matrix $A$ is said to be a Hermitian matrix iff $A=\overline{A^{T}}$.

Skew Hermitian Matrix

A square matrix $A$ is said to be a Hermitian matrix iff $A=-\overline{A^{T}}$.