Abstract:
A square matrix A is called a secondary normal matrix if AAθ = Aθ A, where Aθ
is a secondary conjugate transpose of the matrix A, which is different from the
conjugate transpose matrix. In this paper, we discuss some equivalent conditions of a secondary normal matrix that is if A is a secondary normal matrix then it exists a secondary unitary matrix P obtained by diagonalization and Gram-Schmidt process,
such that Pθ A P = D, where D is a diagonal matrix. More over if A = VP and V is a secondary uniter matrix then A is a secondary normal matrix.
