  This paper extends the concept of de Branges matrices to any finite $m\times
m$ order where $m=2n$. We shall discuss these matrices along with the theory of
de Branges spaces of $\mathbb{C}^n$-valued entire functions and their
associated functions. A parametrization of these matrices is obtained using the
Smirnov maximum principle for matrix valued functions. Additionally, a
factorization of matrix valued meromorphic functions is discussed.
