 Normal matrix

A matrix is normal when $A{A}^{†}=A^{†}A$.

In linear algebra, a **normal matrix** is a type of matrix that commutes with its own conjugate transpose. Specifically, a square matrix \( A \) is defined as normal if it satisfies the condition: \[ AA^* = A^*A \] where \( A^* \) denotes the conjugate transpose (or Hermitian transpose) of matrix \( A \).